460880427906 has 80 divisors (see below), whose sum is σ = 1037523362040. Its totient is φ = 152912240640.

The previous prime is 460880427877. The next prime is 460880427937. The reversal of 460880427906 is 609724088064.

460880427906 is a `hidden beast` number, since 4 + 608 + 8 + 0 + 4 + 27 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 456244860681 + 4635567225 = 675459^2 + 68085^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67485300 + ... + 67492128.

Almost surely, 2^460880427906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460880427906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518761681020).

460880427906 is an abundant number, since it is smaller than the sum of its proper divisors (576642934134).

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

460880427906 is a wasteful number, since it uses less digits than its factorization.

460880427906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 460880427906 in words is "four hundred sixty billion, eight hundred eighty million, four hundred twenty-seven thousand, nine hundred six".