436475664 has 45 divisors (see below), whose sum is σ = 1222227669. Its totient is φ = 145408320.

The previous prime is 436475621. The next prime is 436475681. The reversal of 436475664 is 466574634.

It is a happy number.

The square root of 436475664 is 20892.

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

436475664 is a `hidden beast` number, since 43 + 6 + 47 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 435974400 = 708^2 + 20880^2 .

It is a super-2 number, since 2×436475664² = 381022010528481792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 249834 + ... + 251574.

Almost surely, 2^436475664 is an apocalyptic number.

436475664 is the 20892-nd square number.

It is an amenable number.

436475664 is an abundant number, since it is smaller than the sum of its proper divisors (785752005).

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

436475664 is an equidigital number, since it uses as much as digits as its factorization.

436475664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 1746 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The cubic root of 436475664 is about 758.5543061818.

It can be divided in two parts, 436 and 475664, that added together give a square (476100 = 690²).

The spelling of 436475664 in words is "four hundred thirty-six million, four hundred seventy-five thousand, six hundred sixty-four".