480268200 has 48 divisors (see below), whose sum is σ = 1488833280. Its totient is φ = 128071360.

The previous prime is 480268183. The next prime is 480268249. The reversal of 480268200 is 2862084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399624 + ... + 400823.

It is an arithmetic number, because the mean of its divisors is an integer number (31017360).

Almost surely, 2^480268200 is an apocalyptic number.

480268200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480268200 is an abundant number, since it is smaller than the sum of its proper divisors (1008565080).

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

480268200 is a wasteful number, since it uses less digits than its factorization.

480268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800466 (or 800457 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 480268200 is about 21915.0222450264. The cubic root of 480268200 is about 783.1193299012.

The spelling of 480268200 in words is "four hundred eighty million, two hundred sixty-eight thousand, two hundred".