464175264 has 96 divisors (see below), whose sum is σ = 1407079296. Its totient is φ = 131235840.

The previous prime is 464175251. The next prime is 464175281. The reversal of 464175264 is 462571464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61624 + ... + 68744.

It is an arithmetic number, because the mean of its divisors is an integer number (14657076).

Almost surely, 2^464175264 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 464175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703539648).

464175264 is an abundant number, since it is smaller than the sum of its proper divisors (942904032).

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

464175264 is a wasteful number, since it uses less digits than its factorization.

464175264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7230 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 464175264 is about 21544.7270579137. The cubic root of 464175264 is about 774.2727907581.

It can be divided in two parts, 46417 and 5264, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 464175264 in words is "four hundred sixty-four million, one hundred seventy-five thousand, two hundred sixty-four".