456007460221260 has 192 divisors, whose sum is σ = 1424170686167040. Its totient is φ = 121132360673280.

The previous prime is 456007460221211. The next prime is 456007460221279. The reversal of 456007460221260 is 62122064700654.

456007460221260 is a `hidden beast` number, since 4 + 5 + 60 + 0 + 7 + 460 + 2 + 2 + 126 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 856847367 + ... + 857379393.

It is an arithmetic number, because the mean of its divisors is an integer number (7417555657120).

Almost surely, 2^{456007460221260} 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 456007460221260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712085343083520).

456007460221260 is an abundant number, since it is smaller than the sum of its proper divisors (968163225945780).

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

456007460221260 is a wasteful number, since it uses less digits than its factorization.

456007460221260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538173 (or 538165 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 456007460221260 in words is "four hundred fifty-six trillion, seven billion, four hundred sixty million, two hundred twenty-one thousand, two hundred sixty".