459749888640 has 768 divisors, whose sum is σ = 1936261267200. Its totient is φ = 98179153920.

The previous prime is 459749888627. The next prime is 459749888657. The reversal of 459749888640 is 46888947954.

459749888640 is a `hidden beast` number, since 4 + 5 + 97 + 498 + 8 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×459749888640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55919730 + ... + 55927950.

It is an arithmetic number, because the mean of its divisors is an integer number (2521173525).

Almost surely, 2^459749888640 is an apocalyptic number.

459749888640 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 459749888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968130633600).

459749888640 is an abundant number, since it is smaller than the sum of its proper divisors (1476511378560).

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

459749888640 is a wasteful number, since it uses less digits than its factorization.

459749888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 459749888640 in words is "four hundred fifty-nine billion, seven hundred forty-nine million, eight hundred eighty-eight thousand, six hundred forty".