460880200 has 96 divisors (see below), whose sum is σ = 1237822560. Its totient is φ = 157721600.

The previous prime is 460880179. The next prime is 460880201. The reversal of 460880200 is 2088064.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (460880201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31239 + ... + 43561.

It is an arithmetic number, because the mean of its divisors is an integer number (12893985).

Almost surely, 2^460880200 is an apocalyptic number.

460880200 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 460880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618911280).

460880200 is an abundant number, since it is smaller than the sum of its proper divisors (776942360).

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

460880200 is a wasteful number, since it uses less digits than its factorization.

460880200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 460880200 is about 21468.1205511801. The cubic root of 460880200 is about 772.4363154142.

The spelling of 460880200 in words is "four hundred sixty million, eight hundred eighty thousand, two hundred".