312538464 has 108 divisors (see below), whose sum is σ = 1033935084. Its totient is φ = 89292672.

The previous prime is 312538459. The next prime is 312538469. The reversal of 312538464 is 464835213.

It is an interprime number because it is at equal distance from previous prime (312538459) and next prime (312538469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312538469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3039 + ... + 25185.

It is an arithmetic number, because the mean of its divisors is an integer number (9573473).

Almost surely, 2^312538464 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 312538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516967542).

312538464 is an abundant number, since it is smaller than the sum of its proper divisors (721396620).

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

312538464 is a wasteful number, since it uses less digits than its factorization.

312538464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22177 (or 22159 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 312538464 is about 17678.7574223982. The cubic root of 312538464 is about 678.6322449690.

The spelling of 312538464 in words is "three hundred twelve million, five hundred thirty-eight thousand, four hundred sixty-four".