724040464 has 75 divisors (see below), whose sum is σ = 1686256935. Its totient is φ = 300293280.

The previous prime is 724040461. The next prime is 724040491. The reversal of 724040464 is 464040427.

The square root of 724040464 is 26908.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (724040461) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23356129 + ... + 23356159.

Almost surely, 2^724040464 is an apocalyptic number.

724040464 is the 26908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724040464

724040464 is an abundant number, since it is smaller than the sum of its proper divisors (962216471).

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

724040464 is an frugal number, since it uses more digits than its factorization.

724040464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The cubic root of 724040464 is about 897.9543927512.

The spelling of 724040464 in words is "seven hundred twenty-four million, forty thousand, four hundred sixty-four".