465612 has 48 divisors (see below), whose sum is σ = 1300992. Its totient is φ = 126720.

The previous prime is 465611. The next prime is 465631. The reversal of 465612 is 216564.

It is a hoax number, since the sum of its digits (24) 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 (465611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812 + ... + 2052.

It is an arithmetic number, because the mean of its divisors is an integer number (27104).

2⁴⁶⁵⁶¹² is an apocalyptic number.

465612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650496).

465612 is an abundant number, since it is smaller than the sum of its proper divisors (835380).

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

465612 is a wasteful number, since it uses less digits than its factorization.

465612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 465612 is about 682.3576774683. The cubic root of 465612 is about 77.5070822525.

The spelling of 465612 in words is "four hundred sixty-five thousand, six hundred twelve".