402796800 has 648 divisors, whose sum is σ = 1752901696. Its totient is φ = 89579520.

The previous prime is 402796777. The next prime is 402796843. The reversal of 402796800 is 8697204.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10886382 + ... + 10886418.

Almost surely, 2^402796800 is an apocalyptic number.

402796800 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 402796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876450848).

402796800 is an abundant number, since it is smaller than the sum of its proper divisors (1350104896).

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

402796800 is an equidigital number, since it uses as much as digits as its factorization.

402796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 402796800 is about 20069.7982052635. The cubic root of 402796800 is about 738.5195627483.

The spelling of 402796800 in words is "four hundred two million, seven hundred ninety-six thousand, eight hundred".