724462560 has 144 divisors (see below), whose sum is σ = 2552135040. Its totient is φ = 186946560.

The previous prime is 724462537. The next prime is 724462577. The reversal of 724462560 is 65264427.

724462560 is a `hidden beast` number, since 7 + 24 + 4 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 36526 + ... + 52754.

It is an arithmetic number, because the mean of its divisors is an integer number (17723160).

Almost surely, 2^724462560 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 724462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276067520).

724462560 is an abundant number, since it is smaller than the sum of its proper divisors (1827672480).

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

724462560 is a wasteful number, since it uses less digits than its factorization.

724462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16281 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 724462560 is about 26915.8421751949. The cubic root of 724462560 is about 898.1288532253.

The spelling of 724462560 in words is "seven hundred twenty-four million, four hundred sixty-two thousand, five hundred sixty".