480916200 has 96 divisors (see below), whose sum is σ = 1555704000. Its totient is φ = 122664960.

The previous prime is 480916153. The next prime is 480916207. The reversal of 480916200 is 2619084.

It is a super-3 number, since 3×480916200³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (480916207) 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, 3625 + ... + 31224.

It is an arithmetic number, because the mean of its divisors is an integer number (16205250).

Almost surely, 2^480916200 is an apocalyptic number.

480916200 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 480916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777852000).

480916200 is an abundant number, since it is smaller than the sum of its proper divisors (1074787800).

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

480916200 is a wasteful number, since it uses less digits than its factorization.

480916200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34891 (or 34882 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 480916200 is about 21929.8016406898. The cubic root of 480916200 is about 783.4713785181.

The spelling of 480916200 in words is "four hundred eighty million, nine hundred sixteen thousand, two hundred".