715440 has 80 divisors (see below), whose sum is σ = 2428416. Its totient is φ = 172800.

The previous prime is 715439. The next prime is 715441. The reversal of 715440 is 44517.

715440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (715439) and next prime (715441).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (715441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505 + ... + 2775.

2⁷¹⁵⁴⁴⁰ 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 715440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208).

715440 is an abundant number, since it is smaller than the sum of its proper divisors (1712976).

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

715440 is a wasteful number, since it uses less digits than its factorization.

715440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 715440 is about 845.8368637036. The cubic root of 715440 is about 89.4384791990.

Adding to 715440 its reverse (44517), we get a palindrome (759957).

The spelling of 715440 in words is "seven hundred fifteen thousand, four hundred forty".