460008360 has 192 divisors, whose sum is σ = 1717372800. Its totient is φ = 104606208.

The previous prime is 460008343. The next prime is 460008371. The reversal of 460008360 is 63800064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697711 + ... + 698369.

It is an arithmetic number, because the mean of its divisors is an integer number (8944650).

Almost surely, 2^460008360 is an apocalyptic number.

460008360 is a gapful number since it is divisible by the number (40) 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 460008360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858686400).

460008360 is an abundant number, since it is smaller than the sum of its proper divisors (1257364440).

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

460008360 is a wasteful number, since it uses less digits than its factorization.

460008360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 460008360 is about 21447.8054821467. The cubic root of 460008360 is about 771.9489393238.

The spelling of 460008360 in words is "four hundred sixty million, eight thousand, three hundred sixty".