460991505173520 has 160 divisors (see below), whose sum is σ = 1435158079004160. Its totient is φ = 122407753000960.

The previous prime is 460991505173503. The next prime is 460991505173539. The reversal of 460991505173520 is 25371505199064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802580830 + ... + 803155010.

It is an arithmetic number, because the mean of its divisors is an integer number (8969737993776).

Almost surely, 2^{460991505173520} is an apocalyptic number.

460991505173520 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 460991505173520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717579039502080).

460991505173520 is an abundant number, since it is smaller than the sum of its proper divisors (974166573830640).

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

460991505173520 is a wasteful number, since it uses less digits than its factorization.

460991505173520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588433 (or 588427 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 460991505173520 in words is "four hundred sixty trillion, nine hundred ninety-one billion, five hundred five million, one hundred seventy-three thousand, five hundred twenty".