314290560 has 128 divisors (see below), whose sum is σ = 1060840800. Its totient is φ = 78872576.

The previous prime is 314290547. The next prime is 314290579. The reversal of 314290560 is 65092413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×314290560² = 197557112210227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27826 + ... + 37454.

Almost surely, 2^314290560 is an apocalyptic number.

314290560 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 314290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530420400).

314290560 is an abundant number, since it is smaller than the sum of its proper divisors (746550240).

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

314290560 is a wasteful number, since it uses less digits than its factorization.

314290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 314290560 is about 17728.2418756063. The cubic root of 314290560 is about 679.8980239236.

The spelling of 314290560 in words is "three hundred fourteen million, two hundred ninety thousand, five hundred sixty".