402040800 has 288 divisors, whose sum is σ = 1662393600. Its totient is φ = 91860480.

The previous prime is 402040799. The next prime is 402040811. The reversal of 402040800 is 8040204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149871 + ... + 152529.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^402040800 is an apocalyptic number.

402040800 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 402040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831196800).

402040800 is an abundant number, since it is smaller than the sum of its proper divisors (1260352800).

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

402040800 is a wasteful number, since it uses less digits than its factorization.

402040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 402040800 is about 20050.9550894714. The cubic root of 402040800 is about 738.0572366210.

The spelling of 402040800 in words is "four hundred two million, forty thousand, eight hundred".