314742960 has 240 divisors, whose sum is σ = 1217975616. Its totient is φ = 71350272.

The previous prime is 314742959. The next prime is 314742983. The reversal of 314742960 is 69247413.

314742960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is an unprimeable number.

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, 992722 + ... + 993038.

Almost surely, 2^314742960 is an apocalyptic number.

314742960 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 314742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608987808).

314742960 is an abundant number, since it is smaller than the sum of its proper divisors (903232656).

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

314742960 is a wasteful number, since it uses less digits than its factorization.

314742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

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

The square root of 314742960 is about 17740.9965898199. The cubic root of 314742960 is about 680.2240899276.

The spelling of 314742960 in words is "three hundred fourteen million, seven hundred forty-two thousand, nine hundred sixty".