312557140 has 24 divisors (see below), whose sum is σ = 750137472. Its totient is φ = 107162400.

The previous prime is 312557137. The next prime is 312557149. The reversal of 312557140 is 41755213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 312557099 and 312557108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312557149) by changing a digit.

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, 1116136 + ... + 1116415.

It is an arithmetic number, because the mean of its divisors is an integer number (31255728).

Almost surely, 2^312557140 is an apocalyptic number.

It is an amenable number.

312557140 is an abundant number, since it is smaller than the sum of its proper divisors (437580332).

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

312557140 is a wasteful number, since it uses less digits than its factorization.

312557140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232567 (or 2232565 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 312557140 is about 17679.2856190515. The cubic root of 312557140 is about 678.6457621141.

The spelling of 312557140 in words is "three hundred twelve million, five hundred fifty-seven thousand, one hundred forty".