402468800 has 42 divisors (see below), whose sum is σ = 990328728. Its totient is φ = 160986880.

The previous prime is 402468793. The next prime is 402468821. The reversal of 402468800 is 8864204.

It is a super-2 number, since 2×402468800² = 323962269946880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124172 + ... + 127371.

Almost surely, 2^402468800 is an apocalyptic number.

402468800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402468800 is an abundant number, since it is smaller than the sum of its proper divisors (587859928).

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

402468800 is a wasteful number, since it uses less digits than its factorization.

402468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251565 (or 251550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 402468800 is about 20061.6250588032. The cubic root of 402468800 is about 738.3190479169.

The spelling of 402468800 in words is "four hundred two million, four hundred sixty-eight thousand, eight hundred".