460056040 has 64 divisors (see below), whose sum is σ = 1114689600. Its totient is φ = 170247168.

The previous prime is 460056019. The next prime is 460056049. The reversal of 460056040 is 40650064.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 460055996 and 460056014.

It is not an unprimeable number, because it can be changed into a prime (460056049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34387 + ... + 45853.

It is an arithmetic number, because the mean of its divisors is an integer number (17417025).

Almost surely, 2^460056040 is an apocalyptic number.

460056040 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 460056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557344800).

460056040 is an abundant number, since it is smaller than the sum of its proper divisors (654633560).

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

460056040 is a wasteful number, since it uses less digits than its factorization.

460056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11554 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 460056040 is about 21448.9169889764. The cubic root of 460056040 is about 771.9756093129.

The spelling of 460056040 in words is "four hundred sixty million, fifty-six thousand, forty".