506463264 has 36 divisors (see below), whose sum is σ = 1440255726. Its totient is φ = 168820992.

The previous prime is 506463239. The next prime is 506463271. The reversal of 506463264 is 462364605.

506463264 is a `hidden beast` number, since 5 + 0 + 646 + 3 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 469155600 + 37307664 = 21660^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 878989 + ... + 879564.

Almost surely, 2^506463264 is an apocalyptic number.

It is an amenable number.

506463264 is an abundant number, since it is smaller than the sum of its proper divisors (933792462).

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

506463264 is a wasteful number, since it uses less digits than its factorization.

506463264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758569 (or 1758558 counting only the distinct ones).

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

The square root of 506463264 is about 22504.7387009936. The cubic root of 506463264 is about 797.1058256531.

The spelling of 506463264 in words is "five hundred six million, four hundred sixty-three thousand, two hundred sixty-four".