459863040 has 528 divisors, whose sum is σ = 1881798912. Its totient is φ = 94961664.

The previous prime is 459863017. The next prime is 459863059. The reversal of 459863040 is 40368954.

It is a super-2 number, since 2×459863040² = 422948031116083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 459863040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9784297 + ... + 9784343.

Almost surely, 2^459863040 is an apocalyptic number.

459863040 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 459863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940899456).

459863040 is an abundant number, since it is smaller than the sum of its proper divisors (1421935872).

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

459863040 is a wasteful number, since it uses less digits than its factorization.

459863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 459863040 is about 21444.4174553659. The cubic root of 459863040 is about 771.8676426602.

The spelling of 459863040 in words is "four hundred fifty-nine million, eight hundred sixty-three thousand, forty".