459444960 has 384 divisors, whose sum is σ = 1770491520. Its totient is φ = 111974400.

The previous prime is 459444959. The next prime is 459444971. The reversal of 459444960 is 69444954.

It is a super-2 number, since 2×459444960² = 422179342538803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4548910 + ... + 4549010.

It is an arithmetic number, because the mean of its divisors is an integer number (4610655).

Almost surely, 2^459444960 is an apocalyptic number.

459444960 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 459444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885245760).

459444960 is an abundant number, since it is smaller than the sum of its proper divisors (1311046560).

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

459444960 is a wasteful number, since it uses less digits than its factorization.

459444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 459444960 is about 21434.6672472423. The cubic root of 459444960 is about 771.6336597571.

It can be divided in two parts, 4594449 and 60, that multiplied together give a triangular number (275666940 = T₂₃₄₈₀).

The spelling of 459444960 in words is "four hundred fifty-nine million, four hundred forty-four thousand, nine hundred sixty".