459090072 has 128 divisors (see below), whose sum is σ = 1470873600. Its totient is φ = 129959424.

The previous prime is 459090013. The next prime is 459090089. The reversal of 459090072 is 270090954.

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 31 ways as a sum of consecutive naturals, for example, 169513 + ... + 172199.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2^459090072 is an apocalyptic number.

459090072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459090072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735436800).

459090072 is an abundant number, since it is smaller than the sum of its proper divisors (1011783528).

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

459090072 is a wasteful number, since it uses less digits than its factorization.

459090072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 459090072 is about 21426.3872829742. The cubic root of 459090072 is about 771.4349315172.

The spelling of 459090072 in words is "four hundred fifty-nine million, ninety thousand, seventy-two".