314360460 has 192 divisors, whose sum is σ = 1025740800. Its totient is φ = 79833600.

The previous prime is 314360443. The next prime is 314360471. The reversal of 314360460 is 64063413.

314360460 is a `hidden beast` number, since 3 + 143 + 60 + 460 = 666.

It is a super-2 number, since 2×314360460² = 197644997622823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1489755 + ... + 1489965.

It is an arithmetic number, because the mean of its divisors is an integer number (5342400).

Almost surely, 2^314360460 is an apocalyptic number.

314360460 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 314360460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512870400).

314360460 is an abundant number, since it is smaller than the sum of its proper divisors (711380340).

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

314360460 is a wasteful number, since it uses less digits than its factorization.

314360460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 314360460 is about 17730.2131966877. The cubic root of 314360460 is about 679.9484245773.

The spelling of 314360460 in words is "three hundred fourteen million, three hundred sixty thousand, four hundred sixty".