464000724 has 72 divisors (see below), whose sum is σ = 1326937248. Its totient is φ = 140603040.

The previous prime is 464000711. The next prime is 464000741. The reversal of 464000724 is 427000464.

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

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, 11007 + ... + 32390.

It is an arithmetic number, because the mean of its divisors is an integer number (18429684).

Almost surely, 2^464000724 is an apocalyptic number.

464000724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464000724 is an abundant number, since it is smaller than the sum of its proper divisors (862936524).

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

464000724 is a wasteful number, since it uses less digits than its factorization.

464000724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43427 (or 43413 counting only the distinct ones).

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

The square root of 464000724 is about 21540.6760339596. The cubic root of 464000724 is about 774.1757307855.

The spelling of 464000724 in words is "four hundred sixty-four million, seven hundred twenty-four", and thus it is an aban number.