312925464 has 64 divisors (see below), whose sum is σ = 875952000. Its totient is φ = 103502880.

The previous prime is 312925463. The next prime is 312925469. The reversal of 312925464 is 464529213.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (312925463) 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, 22767 + ... + 33825.

It is an arithmetic number, because the mean of its divisors is an integer number (13686750).

Almost surely, 2^312925464 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 312925464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437976000).

312925464 is an abundant number, since it is smaller than the sum of its proper divisors (563026536).

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

312925464 is a wasteful number, since it uses less digits than its factorization.

312925464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11205 (or 11195 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 312925464 is about 17689.6993756254. The cubic root of 312925464 is about 678.9122343494.

The spelling of 312925464 in words is "three hundred twelve million, nine hundred twenty-five thousand, four hundred sixty-four".