314979840 has 600 divisors, whose sum is σ = 1354681152. Its totient is φ = 69672960.

The previous prime is 314979827. The next prime is 314979857. The reversal of 314979840 is 48979413.

314979840 is a `hidden beast` number, since 31 + 497 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160625 + ... + 10160655.

Almost surely, 2^314979840 is an apocalyptic number.

314979840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677340576).

314979840 is an abundant number, since it is smaller than the sum of its proper divisors (1039701312).

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

314979840 is an equidigital number, since it uses as much as digits as its factorization.

314979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 314979840 is about 17747.6713965523. The cubic root of 314979840 is about 680.3946958891.

The spelling of 314979840 in words is "three hundred fourteen million, nine hundred seventy-nine thousand, eight hundred forty".