459437664 has 48 divisors (see below), whose sum is σ = 1378315008. Its totient is φ = 131267712.

The previous prime is 459437659. The next prime is 459437707. The reversal of 459437664 is 466734954.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×459437664² = 422165934203553792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341172 + ... + 342515.

It is an arithmetic number, because the mean of its divisors is an integer number (28714896).

Almost surely, 2^459437664 is an apocalyptic number.

It is an amenable number.

459437664 is an abundant number, since it is smaller than the sum of its proper divisors (918877344).

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

459437664 is a wasteful number, since it uses less digits than its factorization.

459437664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683707 (or 683699 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 459437664 is about 21434.4970549813. The cubic root of 459437664 is about 771.6295752134.

The spelling of 459437664 in words is "four hundred fifty-nine million, four hundred thirty-seven thousand, six hundred sixty-four".