460457240 has 128 divisors (see below), whose sum is σ = 1166400000. Its totient is φ = 162674688.

The previous prime is 460457213. The next prime is 460457279. The reversal of 460457240 is 42754064.

It is a junction number, because it is equal to n+sod(n) for n = 460457197 and 460457206.

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, 922511 + ... + 923009.

It is an arithmetic number, because the mean of its divisors is an integer number (9112500).

Almost surely, 2^460457240 is an apocalyptic number.

460457240 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 460457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200000).

460457240 is an abundant number, since it is smaller than the sum of its proper divisors (705942760).

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

460457240 is a wasteful number, since it uses less digits than its factorization.

460457240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 460457240 is about 21458.2674044295. The cubic root of 460457240 is about 772.1999491033.

The spelling of 460457240 in words is "four hundred sixty million, four hundred fifty-seven thousand, two hundred forty".