715690440 has 96 divisors (see below), whose sum is σ = 2334716280. Its totient is φ = 190135296.

The previous prime is 715690433. The next prime is 715690441. The reversal of 715690440 is 44096517.

It can be written as a sum of positive squares in 4 ways, for example, as 617323716 + 98366724 = 24846^2 + 9918^2 .

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 = 715690395 and 715690404.

It is not an unprimeable number, because it can be changed into a prime (715690441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96132 + ... + 103308.

Almost surely, 2^715690440 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 715690440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167358140).

715690440 is an abundant number, since it is smaller than the sum of its proper divisors (1619025840).

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

715690440 is a wasteful number, since it uses less digits than its factorization.

715690440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7471 (or 7464 counting only the distinct ones).

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

The square root of 715690440 is about 26752.3912949852. The cubic root of 715690440 is about 894.4891397092.

The spelling of 715690440 in words is "seven hundred fifteen million, six hundred ninety thousand, four hundred forty".