464912 has 30 divisors (see below), whose sum is σ = 1049598. Its totient is φ = 198912.

The previous prime is 464909. The next prime is 464917. The reversal of 464912 is 219464.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 50176 = 644^2 + 224^2 .

It is a super-2 number, since 2×464912² = 432286335488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (464917) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 488 + ... + 1080.

2⁴⁶⁴⁹¹² 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 464912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524799).

464912 is an abundant number, since it is smaller than the sum of its proper divisors (584686).

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

464912 is a wasteful number, since it uses less digits than its factorization.

464912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 464912 is about 681.8445570656. The cubic root of 464912 is about 77.4682214491.

The spelling of 464912 in words is "four hundred sixty-four thousand, nine hundred twelve".