312464 has 20 divisors (see below), whose sum is σ = 617520. Its totient is φ = 153120.

The previous prime is 312451. The next prime is 312469. The reversal of 312464 is 464213.

312464 = T₇₂ + T₇₃ + ... + T₁₃₀.

It is a happy number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312464.

It is not an unprimeable number, because it can be changed into a prime (312469) by changing a digit.

312464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 779 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (30876).

2³¹²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

312464 is a deficient number, since it is larger than the sum of its proper divisors (305056).

312464 is a wasteful number, since it uses less digits than its factorization.

312464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 312464 is about 558.9847940687. The cubic root of 312464 is about 67.8578344739.

Adding to 312464 its reverse (464213), we get a palindrome (776677).

The spelling of 312464 in words is "three hundred twelve thousand, four hundred sixty-four".