460263220 has 48 divisors (see below), whose sum is σ = 1029752640. Its totient is φ = 172302336.

The previous prime is 460263203. The next prime is 460263247. The reversal of 460263220 is 22362064.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24244 + ... + 38836.

It is an arithmetic number, because the mean of its divisors is an integer number (21453180).

Almost surely, 2^460263220 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 460263220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514876320).

460263220 is an abundant number, since it is smaller than the sum of its proper divisors (569489420).

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

460263220 is a wasteful number, since it uses less digits than its factorization.

460263220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14704 (or 14702 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 460263220 is about 21453.7460598377. The cubic root of 460263220 is about 772.0914748381.

The spelling of 460263220 in words is "four hundred sixty million, two hundred sixty-three thousand, two hundred twenty".