312315440 has 40 divisors (see below), whose sum is σ = 735339840. Its totient is φ = 123342336.

The previous prime is 312315433. The next prime is 312315457. The reversal of 312315440 is 44513213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×312315440³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18389 + ... + 31028.

It is an arithmetic number, because the mean of its divisors is an integer number (18383496).

Almost surely, 2^312315440 is an apocalyptic number.

It is an amenable number.

312315440 is an abundant number, since it is smaller than the sum of its proper divisors (423024400).

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

312315440 is a wasteful number, since it uses less digits than its factorization.

312315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49509 (or 49503 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 312315440 is about 17672.4486135906. The cubic root of 312315440 is about 678.4707850631.

Adding to 312315440 its reverse (44513213), we get a palindrome (356828653).

The spelling of 312315440 in words is "three hundred twelve million, three hundred fifteen thousand, four hundred forty".