460490016 has 192 divisors, whose sum is σ = 1477502208. Its totient is φ = 122585088.

The previous prime is 460489979. The next prime is 460490039. The reversal of 460490016 is 610094064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976236 + ... + 1976468.

It is an arithmetic number, because the mean of its divisors is an integer number (7695324).

Almost surely, 2^460490016 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 460490016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738751104).

460490016 is an abundant number, since it is smaller than the sum of its proper divisors (1017012192).

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

460490016 is a wasteful number, since it uses less digits than its factorization.

460490016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 460490016 is about 21459.0311058072. The cubic root of 460490016 is about 772.2182707648.

The spelling of 460490016 in words is "four hundred sixty million, four hundred ninety thousand, sixteen".