314604972 has 120 divisors (see below), whose sum is σ = 919516752. Its totient is φ = 92966400.

The previous prime is 314604959. The next prime is 314604977. The reversal of 314604972 is 279406413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314604977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145048 + ... + 147200.

Almost surely, 2^314604972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314604972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459758376).

314604972 is an abundant number, since it is smaller than the sum of its proper divisors (604911780).

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

314604972 is a wasteful number, since it uses less digits than its factorization.

314604972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 314604972 is about 17737.1072049531. The cubic root of 314604972 is about 680.1246686072.

The spelling of 314604972 in words is "three hundred fourteen million, six hundred four thousand, nine hundred seventy-two".