459040560 has 320 divisors, whose sum is σ = 1645608960. Its totient is φ = 104832000.

The previous prime is 459040531. The next prime is 459040643. The reversal of 459040560 is 65040954.

It is a super-2 number, since 2×459040560² = 421436471450227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5810601 + ... + 5810679.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^459040560 is an apocalyptic number.

459040560 is a gapful number since it is divisible by the number (40) 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 459040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822804480).

459040560 is an abundant number, since it is smaller than the sum of its proper divisors (1186568400).

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

459040560 is a wasteful number, since it uses less digits than its factorization.

459040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 459040560 is about 21425.2318540547. The cubic root of 459040560 is about 771.4071979185.

It can be divided in two parts, 4590 and 40560, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 459040560 in words is "four hundred fifty-nine million, forty thousand, five hundred sixty".