712464 has 20 divisors (see below), whose sum is σ = 1840656. Its totient is φ = 237472.

The previous prime is 712447. The next prime is 712477. The reversal of 712464 is 464217.

712464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7374 + ... + 7469.

2⁷¹²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

712464 is an abundant number, since it is smaller than the sum of its proper divisors (1128192).

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

712464 is a wasteful number, since it uses less digits than its factorization.

712464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14854 (or 14848 counting only the distinct ones).

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

The square root of 712464 is about 844.0758259777. The cubic root of 712464 is about 89.3142950940.

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

The spelling of 712464 in words is "seven hundred twelve thousand, four hundred sixty-four".