464672 has 24 divisors (see below), whose sum is σ = 986076. Its totient is φ = 214272.

The previous prime is 464663. The next prime is 464687. The reversal of 464672 is 276464.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 99856 = 604^2 + 316^2 .

It is an unprimeable number.

464672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 974.

2⁴⁶⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

464672 is an abundant number, since it is smaller than the sum of its proper divisors (521404).

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

464672 is a wasteful number, since it uses less digits than its factorization.

464672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 464672 is about 681.6685411547. The cubic root of 464672 is about 77.4548887658.

The spelling of 464672 in words is "four hundred sixty-four thousand, six hundred seventy-two".