460067776 has 112 divisors (see below), whose sum is σ = 1089021952. Its totient is φ = 188697600.

The previous prime is 460067743. The next prime is 460067801. The reversal of 460067776 is 677760064.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180311 + ... + 2180521.

Almost surely, 2^460067776 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 460067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544510976).

460067776 is an abundant number, since it is smaller than the sum of its proper divisors (628954176).

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

460067776 is a wasteful number, since it uses less digits than its factorization.

460067776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The square root of 460067776 is about 21449.1905674783. The cubic root of 460067776 is about 771.9821736065.

The spelling of 460067776 in words is "four hundred sixty million, sixty-seven thousand, seven hundred seventy-six".