460111680 has 336 divisors, whose sum is σ = 1873422720. Its totient is φ = 101412864.

The previous prime is 460111679. The next prime is 460111697. The reversal of 460111680 is 86111064.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584247 + ... + 585033.

Almost surely, 2^460111680 is an apocalyptic number.

460111680 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 460111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936711360).

460111680 is an abundant number, since it is smaller than the sum of its proper divisors (1413311040).

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

460111680 is a wasteful number, since it uses less digits than its factorization.

460111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 460111680 is about 21450.2139849466. The cubic root of 460111680 is about 772.0067294285.

The spelling of 460111680 in words is "four hundred sixty million, one hundred eleven thousand, six hundred eighty".