714976560 has 240 divisors, whose sum is σ = 2510696448. Its totient is φ = 182131200.

The previous prime is 714976543. The next prime is 714976571. The reversal of 714976560 is 65679417.

It is a happy number.

714976560 is a `hidden beast` number, since 7 + 14 + 9 + 76 + 560 = 666.

714976560 is digitally balanced in base 2, 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 super-2 number, since 2×714976560² = 1022382962698867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298805 + ... + 2299115.

Almost surely, 2^714976560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255348224).

714976560 is an abundant number, since it is smaller than the sum of its proper divisors (1795719888).

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

714976560 is a wasteful number, since it uses less digits than its factorization.

714976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 714976560 is about 26739.0456075007. The cubic root of 714976560 is about 894.1916319679.

The spelling of 714976560 in words is "seven hundred fourteen million, nine hundred seventy-six thousand, five hundred sixty".