460926540 has 72 divisors (see below), whose sum is σ = 1412611200. Its totient is φ = 121641984.

The previous prime is 460926523. The next prime is 460926541. The reversal of 460926540 is 45629064.

460926540 is a `hidden beast` number, since 4 + 609 + 2 + 6 + 5 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460926495 and 460926504.

It is not an unprimeable number, because it can be changed into a prime (460926541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4261 + ... + 30659.

It is an arithmetic number, because the mean of its divisors is an integer number (19619600).

Almost surely, 2^460926540 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 460926540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706305600).

460926540 is an abundant number, since it is smaller than the sum of its proper divisors (951684660).

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

460926540 is a wasteful number, since it uses less digits than its factorization.

460926540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26511 (or 26506 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 460926540 is about 21469.1997987815. The cubic root of 460926540 is about 772.4622031967.

The spelling of 460926540 in words is "four hundred sixty million, nine hundred twenty-six thousand, five hundred forty".