460195008 has 112 divisors (see below), whose sum is σ = 1498640640. Its totient is φ = 121365504.

The previous prime is 460195007. The next prime is 460195013. The reversal of 460195008 is 800591064.

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

It is a self number, because there is not a number n which added to its sum of digits gives 460195008.

It is not an unprimeable number, because it can be changed into a prime (460195007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303 + ... + 30641.

It is an arithmetic number, because the mean of its divisors is an integer number (13380720).

Almost surely, 2^460195008 is an apocalyptic number.

460195008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749320320).

460195008 is an abundant number, since it is smaller than the sum of its proper divisors (1038445632).

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

460195008 is a wasteful number, since it uses less digits than its factorization.

460195008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26374 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 460195008 is about 21452.1562552579. The cubic root of 460195008 is about 772.0533310809.

The spelling of 460195008 in words is "four hundred sixty million, one hundred ninety-five thousand, eight".