402042800 has 30 divisors (see below), whose sum is σ = 965908788. Its totient is φ = 160816960.

The previous prime is 402042779. The next prime is 402042847. The reversal of 402042800 is 8240204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502154 + ... + 502953.

Almost surely, 2^402042800 is an apocalyptic number.

402042800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402042800 is an abundant number, since it is smaller than the sum of its proper divisors (563865988).

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

402042800 is a wasteful number, since it uses less digits than its factorization.

402042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005125 (or 1005114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 402042800 is about 20051.0049623454. The cubic root of 402042800 is about 738.0584604703.

The spelling of 402042800 in words is "four hundred two million, forty-two thousand, eight hundred".