402100800 has 168 divisors, whose sum is σ = 1388973600. Its totient is φ = 101560320.

The previous prime is 402100723. The next prime is 402100807. The reversal of 402100800 is 8001204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 402100800.

It is not an unprimeable number, because it can be changed into a prime (402100807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88996 + ... + 93404.

It is an arithmetic number, because the mean of its divisors is an integer number (8267700).

Almost surely, 2^402100800 is an apocalyptic number.

402100800 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 402100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694486800).

402100800 is an abundant number, since it is smaller than the sum of its proper divisors (986872800).

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

402100800 is a wasteful number, since it uses less digits than its factorization.

402100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 402100800 is about 20052.4512217335. The cubic root of 402100800 is about 738.0939503339.

The spelling of 402100800 in words is "four hundred two million, one hundred thousand, eight hundred".