418404572964 has 81 divisors (see below), whose sum is σ = 1230388574961. Its totient is φ = 119536401600.

The previous prime is 418404572959. The next prime is 418404572969. The reversal of 418404572964 is 469275404814.

The square root of 418404572964 is 646842.

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

418404572964 is a `hidden beast` number, since 4 + 1 + 8 + 4 + 0 + 4 + 572 + 9 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (418404572959) and next prime (418404572969).

It can be written as a sum of positive squares in only one way, i.e., 415692246564 + 2712326400 = 644742^2 + 52080^2 .

It is a super-3 number, since 3×418404572964³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 418404572964.

It is not an unprimeable number, because it can be changed into a prime (418404572969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27159664 + ... + 27175064.

Almost surely, 2^418404572964 is an apocalyptic number.

418404572964 is the 646842-nd square number.

It is an amenable number.

418404572964 is an abundant number, since it is smaller than the sum of its proper divisors (811984001997).

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

418404572964 is an equidigital number, since it uses as much as digits as its factorization.

418404572964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30826 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 418404572964 in words is "four hundred eighteen billion, four hundred four million, five hundred seventy-two thousand, nine hundred sixty-four".