460798200 has 96 divisors (see below), whose sum is σ = 1587212400. Its totient is φ = 122878080.

The previous prime is 460798193. The next prime is 460798211. The reversal of 460798200 is 2897064.

It is a super-2 number, since 2×460798200² = 424669962246480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37267 + ... + 48066.

Almost surely, 2^460798200 is an apocalyptic number.

460798200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460798200 is an abundant number, since it is smaller than the sum of its proper divisors (1126414200).

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

460798200 is a wasteful number, since it uses less digits than its factorization.

460798200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85358 (or 85343 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 460798200 is about 21466.2106576825. The cubic root of 460798200 is about 772.3905019651.

The spelling of 460798200 in words is "four hundred sixty million, seven hundred ninety-eight thousand, two hundred".