417499960752 has 120 divisors (see below), whose sum is σ = 1367906510880. Its totient is φ = 116376284160.

The previous prime is 417499960741. The next prime is 417499960769. The reversal of 417499960752 is 257069994714.

417499960752 is a `hidden beast` number, since 4 + 1 + 7 + 499 + 96 + 0 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 417499960752.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5009727 + ... + 5092382.

It is an arithmetic number, because the mean of its divisors is an integer number (11399220924).

Almost surely, 2^417499960752 is an apocalyptic number.

417499960752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

417499960752 is an abundant number, since it is smaller than the sum of its proper divisors (950406550128).

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

417499960752 is a wasteful number, since it uses less digits than its factorization.

417499960752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102171 (or 10102162 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 417499960752 in words is "four hundred seventeen billion, four hundred ninety-nine million, nine hundred sixty thousand, seven hundred fifty-two".