314380560 has 240 divisors, whose sum is σ = 1104465024. Its totient is φ = 73801728.

The previous prime is 314380543. The next prime is 314380567. The reversal of 314380560 is 65083413.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (314380567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932712 + ... + 933048.

Almost surely, 2^314380560 is an apocalyptic number.

314380560 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 314380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552232512).

314380560 is an abundant number, since it is smaller than the sum of its proper divisors (790084464).

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

314380560 is a wasteful number, since it uses less digits than its factorization.

314380560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 314380560 is about 17730.7800166829. The cubic root of 314380560 is about 679.9629160861.

The spelling of 314380560 in words is "three hundred fourteen million, three hundred eighty thousand, five hundred sixty".