402804900 has 135 divisors (see below), whose sum is σ = 1311615921. Its totient is φ = 106932960.

The previous prime is 402804863. The next prime is 402804923. The reversal of 402804900 is 9408204.

The square root of 402804900 is 20070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 145009764 + 257795136 = 12042^2 + 16056^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1806189 + ... + 1806411.

Almost surely, 2^402804900 is an apocalyptic number.

402804900 is the 20070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402804900

402804900 is an abundant number, since it is smaller than the sum of its proper divisors (908811021).

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

402804900 is a wasteful number, since it uses less digits than its factorization.

402804900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 402804900 is about 738.5245131091.

Multiplying 402804900 by its product of nonzero digits (2304), we get a square (928062489600 = 963360²).

The spelling of 402804900 in words is "four hundred two million, eight hundred four thousand, nine hundred".