459952560 has 160 divisors (see below), whose sum is σ = 1606534080. Its totient is φ = 120932352.

The previous prime is 459952523. The next prime is 459952567. The reversal of 459952560 is 65259954.

It is a happy number.

459952560 is a `hidden beast` number, since 4 + 599 + 5 + 2 + 56 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (459952567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156222 + ... + 159138.

It is an arithmetic number, because the mean of its divisors is an integer number (10040838).

Almost surely, 2^459952560 is an apocalyptic number.

459952560 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 459952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803267040).

459952560 is an abundant number, since it is smaller than the sum of its proper divisors (1146581520).

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

459952560 is a wasteful number, since it uses less digits than its factorization.

459952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 459952560 is about 21446.5046103089. The cubic root of 459952560 is about 771.9177250414.

The spelling of 459952560 in words is "four hundred fifty-nine million, nine hundred fifty-two thousand, five hundred sixty".