460913040 has 240 divisors, whose sum is σ = 1787385600. Its totient is φ = 104260608.

The previous prime is 460913029. The next prime is 460913041. The reversal of 460913040 is 40319064.

460913040 is a `hidden beast` number, since 4 + 609 + 13 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 460912995 and 460913013.

It is not an unprimeable number, because it can be changed into a prime (460913041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548941 + ... + 549779.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^460913040 is an apocalyptic number.

460913040 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 460913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

460913040 is an abundant number, since it is smaller than the sum of its proper divisors (1326472560).

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

460913040 is a wasteful number, since it uses less digits than its factorization.

460913040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 460913040 is about 21468.8853925862. The cubic root of 460913040 is about 772.4546616179.

The spelling of 460913040 in words is "four hundred sixty million, nine hundred thirteen thousand, forty".