460060406040 has 64 divisors (see below), whose sum is σ = 1380226440960. Its totient is φ = 122678755200.

The previous prime is 460060406017. The next prime is 460060406053. The reversal of 460060406040 is 40604060064.

460060406040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 460060405989 and 460060406007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6235365 + ... + 6308715.

It is an arithmetic number, because the mean of its divisors is an integer number (21566038140).

Almost surely, 2^460060406040 is an apocalyptic number.

460060406040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460060406040 is an abundant number, since it is smaller than the sum of its proper divisors (920166034920).

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

460060406040 is a wasteful number, since it uses less digits than its factorization.

460060406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125632 (or 125628 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 460060406040 in words is "four hundred sixty billion, sixty million, four hundred six thousand, forty".