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401464 = 23767107
BaseRepresentation
bin1100010000000111000
3202101201001
41202000320
5100321324
612334344
73261310
oct1420070
9671631
10401464
11254698
121743b4
1311096b
14a6440
157de44
hex62038

401464 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 167904.

The previous prime is 401417. The next prime is 401473. The reversal of 401464 is 464104.

It is a super-2 number, since 2×4014642 = 322346686592, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

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, 3699 + ... + 3805.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2401464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

401464 is an abundant number, since it is smaller than the sum of its proper divisors (479816).

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

401464 is a wasteful number, since it uses less digits than its factorization.

401464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 401464 is about 633.6118685757. The cubic root of 401464 is about 73.7704108976.

Adding to 401464 its reverse (464104), we get a palindrome (865568).

The spelling of 401464 in words is "four hundred one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 67 107 134 214 268 428 469 536 749 856 938 1498 1876 2996 3752 5992 7169 14338 28676 50183 57352 100366 200732 401464