459207072 has 72 divisors (see below), whose sum is σ = 1315379520. Its totient is φ = 151954560.

The previous prime is 459207071. The next prime is 459207101. The reversal of 459207072 is 270702954.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×459207072² = 421742269949626368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (459207071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34297 + ... + 45767.

It is an arithmetic number, because the mean of its divisors is an integer number (18269160).

Almost surely, 2^459207072 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 459207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657689760).

459207072 is an abundant number, since it is smaller than the sum of its proper divisors (856172448).

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

459207072 is a wasteful number, since it uses less digits than its factorization.

459207072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626 (or 11615 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 459207072 is about 21429.1173873307. The cubic root of 459207072 is about 771.5004598497.

The spelling of 459207072 in words is "four hundred fifty-nine million, two hundred seven thousand, seventy-two".