460831680 has 280 divisors, whose sum is σ = 1712744352. Its totient is φ = 117393408.

The previous prime is 460831673. The next prime is 460831717. The reversal of 460831680 is 86138064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 595774 + ... + 596546.

Almost surely, 2^460831680 is an apocalyptic number.

460831680 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 460831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856372176).

460831680 is an abundant number, since it is smaller than the sum of its proper divisors (1251912672).

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

460831680 is a wasteful number, since it uses less digits than its factorization.

460831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 460831680 is about 21466.9904737483. The cubic root of 460831680 is about 772.4092079176.

The spelling of 460831680 in words is "four hundred sixty million, eight hundred thirty-one thousand, six hundred eighty".