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401440 = 25513193
BaseRepresentation
bin1100010000000100000
3202101200011
41202000200
5100321230
612334304
73261244
oct1420040
9671604
10401440
11254676
12174394
13110950
14a6424
157de2a
hex62020

401440 has 48 divisors (see below), whose sum is σ = 1026648. Its totient is φ = 147456.

The previous prime is 401417. The next prime is 401473. The reversal of 401440 is 44104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 204304 = 444^2 + 452^2 .

It is a super-2 number, since 2×4014402 = 322308147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 401440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1984 + ... + 2176.

2401440 is an apocalyptic number.

401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513324).

401440 is an abundant number, since it is smaller than the sum of its proper divisors (625208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401440 is a wasteful number, since it uses less digits than its factorization.

401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 401440 is about 633.5929292535. The cubic root of 401440 is about 73.7689408404.

Adding to 401440 its reverse (44104), we get a palindrome (445544).

It can be divided in two parts, 401 and 440, that added together give a square (841 = 292).

The spelling of 401440 in words is "four hundred one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 193 208 260 386 416 520 772 965 1040 1544 1930 2080 2509 3088 3860 5018 6176 7720 10036 12545 15440 20072 25090 30880 40144 50180 80288 100360 200720 401440