464712 has 48 divisors (see below), whose sum is σ = 1252560. Its totient is φ = 143616.

The previous prime is 464699. The next prime is 464741. The reversal of 464712 is 217464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6903 + ... + 6969.

It is an arithmetic number, because the mean of its divisors is an integer number (26095).

2⁴⁶⁴⁷¹² 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 464712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626280).

464712 is an abundant number, since it is smaller than the sum of its proper divisors (787848).

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

464712 is a wasteful number, since it uses less digits than its factorization.

464712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 464712 is about 681.6978802960. The cubic root of 464712 is about 77.4571111984.

It can be divided in two parts, 464 and 712, that added together give a triangular number (1176 = T₄₈).

The spelling of 464712 in words is "four hundred sixty-four thousand, seven hundred twelve".