460280808 has 192 divisors, whose sum is σ = 1436198400. Its totient is φ = 132088320.

The previous prime is 460280759. The next prime is 460280813. The reversal of 460280808 is 808082064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a cake number, because a cake can be divided into 460280808 parts by 1403 planar cuts.

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, 841191 + ... + 841737.

It is an arithmetic number, because the mean of its divisors is an integer number (7480200).

Almost surely, 2^460280808 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 460280808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718099200).

460280808 is an abundant number, since it is smaller than the sum of its proper divisors (975917592).

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

460280808 is a wasteful number, since it uses less digits than its factorization.

460280808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 460280808 is about 21454.1559610254. The cubic root of 460280808 is about 772.1013093352.

The spelling of 460280808 in words is "four hundred sixty million, two hundred eighty thousand, eight hundred eight".