464595264 has 420 divisors, whose sum is σ = 1681764480. Its totient is φ = 126282240.

The previous prime is 464595251. The next prime is 464595269. The reversal of 464595264 is 462595464.

Its product of digits (1036800) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464595269) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7874467 + ... + 7874525.

Almost surely, 2^464595264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464595264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840882240).

464595264 is an abundant number, since it is smaller than the sum of its proper divisors (1217169216).

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

464595264 is a wasteful number, since it uses less digits than its factorization.

464595264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 464595264 is about 21554.4720185858. The cubic root of 464595264 is about 774.5062489398.

The spelling of 464595264 in words is "four hundred sixty-four million, five hundred ninety-five thousand, two hundred sixty-four".