724038480 has 320 divisors, whose sum is σ = 2811248640. Its totient is φ = 169689600.

The previous prime is 724038473. The next prime is 724038493. The reversal of 724038480 is 84830427.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736069 + ... + 737051.

It is an arithmetic number, because the mean of its divisors is an integer number (8785152).

Almost surely, 2^724038480 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 724038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405624320).

724038480 is an abundant number, since it is smaller than the sum of its proper divisors (2087210160).

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

724038480 is a wasteful number, since it uses less digits than its factorization.

724038480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 724038480 is about 26907.9631336153. The cubic root of 724038480 is about 897.9535725654.

The spelling of 724038480 in words is "seven hundred twenty-four million, thirty-eight thousand, four hundred eighty".