460605257000 has 128 divisors (see below), whose sum is σ = 1235227968000. Its totient is φ = 157481049600.

The previous prime is 460605256999. The next prime is 460605257041. The reversal of 460605257000 is 752506064.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 2421356 + ... + 2604644.

It is an arithmetic number, because the mean of its divisors is an integer number (9650218500).

Almost surely, 2^460605257000 is an apocalyptic number.

460605257000 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 460605257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617613984000).

460605257000 is an abundant number, since it is smaller than the sum of its proper divisors (774622711000).

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

460605257000 is a wasteful number, since it uses less digits than its factorization.

460605257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183676 (or 183662 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 460605257000 in words is "four hundred sixty billion, six hundred five million, two hundred fifty-seven thousand".