459464140800 has 2880 divisors, whose sum is σ = 2211889680000. Its totient is φ = 93640458240.

The previous prime is 459464140753. The next prime is 459464140813. The reversal of 459464140800 is 8041464954.

459464140800 is a `hidden beast` number, since 45 + 9 + 464 + 140 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×459464140800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24182323191 + ... + 24182323209.

It is an arithmetic number, because the mean of its divisors is an integer number (768017250).

Almost surely, 2^459464140800 is an apocalyptic number.

459464140800 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 459464140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105944840000).

459464140800 is an abundant number, since it is smaller than the sum of its proper divisors (1752425539200).

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

459464140800 is a wasteful number, since it uses less digits than its factorization.

459464140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 459464140800 in words is "four hundred fifty-nine billion, four hundred sixty-four million, one hundred forty thousand, eight hundred".