460373540 has 72 divisors (see below), whose sum is σ = 1068020856. Its totient is φ = 166566400.

The previous prime is 460373513. The next prime is 460373597. The reversal of 460373540 is 45373064.

It can be written as a sum of positive squares in 4 ways, for example, as 221176384 + 239197156 = 14872^2 + 15466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 460373497 and 460373506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679682 + ... + 680358.

It is an arithmetic number, because the mean of its divisors is an integer number (14833623).

Almost surely, 2^460373540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460373540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534010428).

460373540 is an abundant number, since it is smaller than the sum of its proper divisors (607647316).

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

460373540 is a wasteful number, since it uses less digits than its factorization.

460373540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 460373540 is about 21456.3170185379. The cubic root of 460373540 is about 772.1531571707.

The spelling of 460373540 in words is "four hundred sixty million, three hundred seventy-three thousand, five hundred forty".