353364804 has 81 divisors (see below), whose sum is σ = 971252919. Its totient is φ = 108276480.

The previous prime is 353364769. The next prime is 353364821. The reversal of 353364804 is 408463353.

The square root of 353364804 is 18798.

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

353364804 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 648 + 0 + 4 = 666.

353364804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5616900 + 347747904 = 2370^2 + 18648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1466124 + ... + 1466364.

Almost surely, 2^353364804 is an apocalyptic number.

353364804 is the 18798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353364804

353364804 is an abundant number, since it is smaller than the sum of its proper divisors (617888115).

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

353364804 is a wasteful number, since it uses less digits than its factorization.

353364804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The cubic root of 353364804 is about 706.9810344305.

Multiplying 353364804 by its sum of digits (36), we get a square (12721132944 = 112788²).

353364804 divided by its sum of digits (36) gives a square (9815689 = 3133²).

The spelling of 353364804 in words is "three hundred fifty-three million, three hundred sixty-four thousand, eight hundred four".