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402400 = 2552503
BaseRepresentation
bin1100010001111100000
3202102222201
41202033200
5100334100
612342544
73264115
oct1421740
9672881
10402400
11255369
12174a54
1311120b
14a690c
157e36a
hex623e0

402400 has 36 divisors (see below), whose sum is σ = 984312. Its totient is φ = 160640.

The previous prime is 402383. The next prime is 402403. The reversal of 402400 is 4204.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 549 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2402400 is an apocalyptic number.

402400 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 402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156).

402400 is an abundant number, since it is smaller than the sum of its proper divisors (581912).

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

402400 is a wasteful number, since it uses less digits than its factorization.

402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 402400 is about 634.3500610861. The cubic root of 402400 is about 73.8276974887.

Adding to 402400 its reverse (4204), we get a palindrome (406604).

The spelling of 402400 in words is "four hundred two thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 503 800 1006 2012 2515 4024 5030 8048 10060 12575 16096 20120 25150 40240 50300 80480 100600 201200 402400