459874214880 has 48 divisors (see below), whose sum is σ = 1448603778384. Its totient is φ = 122633123840.

The previous prime is 459874214857. The next prime is 459874214911. The reversal of 459874214880 is 88412478954.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×459874214880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479035161 + ... + 479036120.

It is an arithmetic number, because the mean of its divisors is an integer number (30179245383).

Almost surely, 2^459874214880 is an apocalyptic number.

459874214880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459874214880 is an abundant number, since it is smaller than the sum of its proper divisors (988729563504).

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

459874214880 is a wasteful number, since it uses less digits than its factorization.

459874214880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958071299 (or 958071291 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 459874214880 in words is "four hundred fifty-nine billion, eight hundred seventy-four million, two hundred fourteen thousand, eight hundred eighty".