460151680 has 64 divisors (see below), whose sum is σ = 1105884000. Its totient is φ = 183085056.

The previous prime is 460151641. The next prime is 460151683. The reversal of 460151680 is 86151064.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460151683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125554 + ... + 129166.

Almost surely, 2^460151680 is an apocalyptic number.

460151680 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 460151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552942000).

460151680 is an abundant number, since it is smaller than the sum of its proper divisors (645732320).

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

460151680 is a wasteful number, since it uses less digits than its factorization.

460151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 460151680 is about 21451.1463563139. The cubic root of 460151680 is about 772.0291003554.

The spelling of 460151680 in words is "four hundred sixty million, one hundred fifty-one thousand, six hundred eighty".