460375776 has 432 divisors, whose sum is σ = 1714199760. Its totient is φ = 116121600.

The previous prime is 460375711. The next prime is 460375777. The reversal of 460375776 is 677573064.

460375776 is a `hidden beast` number, since 46 + 0 + 37 + 577 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460375777) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4558126 + ... + 4558226.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^460375776 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 460375776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857099880).

460375776 is an abundant number, since it is smaller than the sum of its proper divisors (1253823984).

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

460375776 is a wasteful number, since it uses less digits than its factorization.

460375776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 460375776 is about 21456.3691243416. The cubic root of 460375776 is about 772.1544072655.

The spelling of 460375776 in words is "four hundred sixty million, three hundred seventy-five thousand, seven hundred seventy-six".