715609440 has 576 divisors, whose sum is σ = 3099672576. Its totient is φ = 146313216.

The previous prime is 715609439. The next prime is 715609459. The reversal of 715609440 is 44906517.

715609440 is a `hidden beast` number, since 7 + 1 + 5 + 609 + 4 + 40 = 666.

It is a super-2 number, since 2×715609440² = 1024193741234227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 715609395 and 715609404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5634657 + ... + 5634783.

It is an arithmetic number, because the mean of its divisors is an integer number (5381376).

Almost surely, 2^715609440 is an apocalyptic number.

715609440 is a gapful number since it is divisible by the number (70) 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 715609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549836288).

715609440 is an abundant number, since it is smaller than the sum of its proper divisors (2384063136).

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

715609440 is a wasteful number, since it uses less digits than its factorization.

715609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 715609440 is about 26750.8773687892. The cubic root of 715609440 is about 894.4553931107.

The spelling of 715609440 in words is "seven hundred fifteen million, six hundred nine thousand, four hundred forty".