312788940 has 48 divisors (see below), whose sum is σ = 887818848. Its totient is φ = 82266624.

The previous prime is 312788939. The next prime is 312788941. The reversal of 312788940 is 49887213.

It is an interprime number because it is at equal distance from previous prime (312788939) and next prime (312788941).

It is a junction number, because it is equal to n+sod(n) for n = 312788892 and 312788901.

It is not an unprimeable number, because it can be changed into a prime (312788941) 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, 31327 + ... + 40086.

It is an arithmetic number, because the mean of its divisors is an integer number (18496226).

Almost surely, 2^312788940 is an apocalyptic number.

312788940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312788940 is an abundant number, since it is smaller than the sum of its proper divisors (575029908).

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

312788940 is a wasteful number, since it uses less digits than its factorization.

312788940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71498 (or 71496 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 312788940 is about 17685.8400987909. The cubic root of 312788940 is about 678.8134874089.

The spelling of 312788940 in words is "three hundred twelve million, seven hundred eighty-eight thousand, nine hundred forty".