460387720 has 64 divisors (see below), whose sum is σ = 1129101120. Its totient is φ = 167925504.

The previous prime is 460387667. The next prime is 460387721. The reversal of 460387720 is 27783064.

It is a self number, because there is not a number n which added to its sum of digits gives 460387720.

It is not an unprimeable number, because it can be changed into a prime (460387721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37827 + ... + 48493.

It is an arithmetic number, because the mean of its divisors is an integer number (17642205).

Almost surely, 2^460387720 is an apocalyptic number.

460387720 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 460387720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564550560).

460387720 is an abundant number, since it is smaller than the sum of its proper divisors (668713400).

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

460387720 is a wasteful number, since it uses less digits than its factorization.

460387720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 460387720 is about 21456.6474548099. The cubic root of 460387720 is about 772.1610848051.

The spelling of 460387720 in words is "four hundred sixty million, three hundred eighty-seven thousand, seven hundred twenty".