480423715200 has 2304 divisors, whose sum is σ = 2147982520320. Its totient is φ = 100638720000.

The previous prime is 480423715157. The next prime is 480423715249. The reversal of 480423715200 is 2517324084.

It is a happy number.

480423715200 is a `hidden beast` number, since 4 + 80 + 4 + 2 + 371 + 5 + 200 = 666.

It is a super-2 number, since 2×480423715200² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 6766531165 + ... + 6766531235.

It is an arithmetic number, because the mean of its divisors is an integer number (932284080).

Almost surely, 2^480423715200 is an apocalyptic number.

480423715200 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 480423715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073991260160).

480423715200 is an abundant number, since it is smaller than the sum of its proper divisors (1667558805120).

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

480423715200 is a wasteful number, since it uses less digits than its factorization.

480423715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 480423715200 in words is "four hundred eighty billion, four hundred twenty-three million, seven hundred fifteen thousand, two hundred".