724464 has 100 divisors (see below), whose sum is σ = 2310616. Its totient is φ = 217728.

The previous prime is 724459. The next prime is 724469. The reversal of 724464 is 464427.

724464 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 (724459) and next prime (724469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724469) by changing a digit.

724464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16827 + ... + 16869.

2⁷²⁴⁴⁶⁴ 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 724464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155308).

724464 is an abundant number, since it is smaller than the sum of its proper divisors (1586152).

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

724464 is a wasteful number, since it uses less digits than its factorization.

724464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 724464 is about 851.1545100627. The cubic root of 724464 is about 89.8129448289.

The spelling of 724464 in words is "seven hundred twenty-four thousand, four hundred sixty-four".