459745472 has 56 divisors (see below), whose sum is σ = 928676832. Its totient is φ = 225792000.

The previous prime is 459745457. The next prime is 459745483. The reversal of 459745472 is 274547954.

It is a super-2 number, since 2×459745472² = 422731798049005568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091822 + ... + 1092242.

Almost surely, 2^459745472 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 459745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464338416).

459745472 is an abundant number, since it is smaller than the sum of its proper divisors (468931360).

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

459745472 is a wasteful number, since it uses less digits than its factorization.

459745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 47.

The square root of 459745472 is about 21441.6760538909. The cubic root of 459745472 is about 771.8018588205.

The spelling of 459745472 in words is "four hundred fifty-nine million, seven hundred forty-five thousand, four hundred seventy-two".