459540900 has 432 divisors, whose sum is σ = 1840104448. Its totient is φ = 93312000.

The previous prime is 459540857. The next prime is 459540947. The reversal of 459540900 is 9045954.

It is a super-2 number, since 2×459540900² = 422355677545620000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2538810 + ... + 2538990.

Almost surely, 2^459540900 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 459540900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920052224).

459540900 is an abundant number, since it is smaller than the sum of its proper divisors (1380563548).

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

459540900 is a wasteful number, since it uses less digits than its factorization.

459540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 459540900 is about 21436.9050937863. The cubic root of 459540900 is about 771.6873661401.

The spelling of 459540900 in words is "four hundred fifty-nine million, five hundred forty thousand, nine hundred".