464576 has 56 divisors (see below), whose sum is σ = 1133856. Its totient is φ = 184320.

The previous prime is 464561. The next prime is 464587. The reversal of 464576 is 675464.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 7586 + ... + 7646.

2⁴⁶⁴⁵⁷⁶ 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 464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566928).

464576 is an abundant number, since it is smaller than the sum of its proper divisors (669280).

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

464576 is a wasteful number, since it uses less digits than its factorization.

464576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 464576 is about 681.5981220631. The cubic root of 464576 is about 77.4495544071.

The spelling of 464576 in words is "four hundred sixty-four thousand, five hundred seventy-six".