460893720 has 128 divisors (see below), whose sum is σ = 1585520640. Its totient is φ = 104993280.

The previous prime is 460893701. The next prime is 460893809. The reversal of 460893720 is 27398064.

It is a super-2 number, since 2×460893720² = 424846042270876800, which contains 22 as substring.

It is a congruent number.

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, 312585 + ... + 314055.

It is an arithmetic number, because the mean of its divisors is an integer number (12386880).

Almost surely, 2^460893720 is an apocalyptic number.

460893720 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 460893720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792760320).

460893720 is an abundant number, since it is smaller than the sum of its proper divisors (1124626920).

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

460893720 is a wasteful number, since it uses less digits than its factorization.

460893720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 460893720 is about 21468.4354343767. The cubic root of 460893720 is about 772.4438685244.

The spelling of 460893720 in words is "four hundred sixty million, eight hundred ninety-three thousand, seven hundred twenty".