714960480 has 96 divisors (see below), whose sum is σ = 2425387104. Its totient is φ = 175988736.

The previous prime is 714960479. The next prime is 714960511. The reversal of 714960480 is 84069417.

It is a happy number.

714960480 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 (96).

It is a super-2 number, since 2×714960480² = 1022336975923660800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51049 + ... + 63528.

It is an arithmetic number, because the mean of its divisors is an integer number (25264449).

Almost surely, 2^714960480 is an apocalyptic number.

It is an amenable number.

714960480 is an abundant number, since it is smaller than the sum of its proper divisors (1710426624).

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

714960480 is a wasteful number, since it uses less digits than its factorization.

714960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114608 (or 114600 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 714960480 is about 26738.7449219293. The cubic root of 714960480 is about 894.1849283871.

The spelling of 714960480 in words is "seven hundred fourteen million, nine hundred sixty thousand, four hundred eighty".