402664400 has 60 divisors (see below), whose sum is σ = 969333792. Its totient is φ = 160744320.

The previous prime is 402664319. The next prime is 402664417. The reversal of 402664400 is 4466204.

It is a self number, because there is not a number n which added to its sum of digits gives 402664400.

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, 378269 + ... + 379331.

Almost surely, 2^402664400 is an apocalyptic number.

402664400 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 402664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484666896).

402664400 is an abundant number, since it is smaller than the sum of its proper divisors (566669392).

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

402664400 is a wasteful number, since it uses less digits than its factorization.

402664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 402664400 is about 20066.4994455934. The cubic root of 402664400 is about 738.4386363312.

The spelling of 402664400 in words is "four hundred two million, six hundred sixty-four thousand, four hundred".