467742564 has 36 divisors (see below), whose sum is σ = 1189894524. Its totient is φ = 154919232.

The previous prime is 467742503. The next prime is 467742577. The reversal of 467742564 is 465247764.

467742564 is a `hidden beast` number, since 46 + 7 + 7 + 42 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 315417600 + 152324964 = 17760^2 + 12342^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35727 + ... + 47030.

Almost surely, 2^467742564 is an apocalyptic number.

It is an amenable number.

467742564 is an abundant number, since it is smaller than the sum of its proper divisors (722151960).

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

467742564 is a wasteful number, since it uses less digits than its factorization.

467742564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82924 (or 82919 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 467742564 is about 21627.3568426657. The cubic root of 467742564 is about 776.2512228193.

The spelling of 467742564 in words is "four hundred sixty-seven million, seven hundred forty-two thousand, five hundred sixty-four".