314984736 has 144 divisors (see below), whose sum is σ = 1028795040. Its totient is φ = 90408960.

The previous prime is 314984711. The next prime is 314984753. The reversal of 314984736 is 637489413.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 314984691 and 314984700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57576 + ... + 62808.

It is an arithmetic number, because the mean of its divisors is an integer number (7144410).

Almost surely, 2^314984736 is an apocalyptic number.

314984736 is a gapful number since it is divisible by the number (36) 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 314984736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514397520).

314984736 is an abundant number, since it is smaller than the sum of its proper divisors (713810304).

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

314984736 is a wasteful number, since it uses less digits than its factorization.

314984736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5268 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 314984736 is about 17747.8093296046. The cubic root of 314984736 is about 680.3982211890.

The spelling of 314984736 in words is "three hundred fourteen million, nine hundred eighty-four thousand, seven hundred thirty-six".