402620800 has 96 divisors (see below), whose sum is σ = 1016140320. Its totient is φ = 157562880.

The previous prime is 402620747. The next prime is 402620837. The reversal of 402620800 is 8026204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149062 + ... + 151738.

It is an arithmetic number, because the mean of its divisors is an integer number (10584795).

Almost surely, 2^402620800 is an apocalyptic number.

402620800 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 402620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508070160).

402620800 is an abundant number, since it is smaller than the sum of its proper divisors (613519520).

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

402620800 is a wasteful number, since it uses less digits than its factorization.

402620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 402620800 is about 20065.4130283929. The cubic root of 402620800 is about 738.4119829638.

The spelling of 402620800 in words is "four hundred two million, six hundred twenty thousand, eight hundred".