460391008 has 192 divisors, whose sum is σ = 1241049600. Its totient is φ = 162570240.

The previous prime is 460390993. The next prime is 460391017. The reversal of 460391008 is 800193064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214563 + ... + 1214941.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^460391008 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 460391008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

460391008 is an abundant number, since it is smaller than the sum of its proper divisors (780658592).

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

460391008 is a wasteful number, since it uses less digits than its factorization.

460391008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 460391008 is about 21456.7240742850. The cubic root of 460391008 is about 772.1629230091.

The spelling of 460391008 in words is "four hundred sixty million, three hundred ninety-one thousand, eight".