480950870400 has 3072 divisors, whose sum is σ = 2427444633600. Its totient is φ = 89778585600.

The previous prime is 480950870383. The next prime is 480950870447. The reversal of 480950870400 is 4078059084.

480950870400 is a `hidden beast` number, since 4 + 80 + 95 + 0 + 87 + 0 + 400 = 666.

It is a super-3 number, since 3×480950870400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5794588759 + ... + 5794588841.

It is an arithmetic number, because the mean of its divisors is an integer number (790183800).

Almost surely, 2^480950870400 is an apocalyptic number.

480950870400 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 480950870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213722316800).

480950870400 is an abundant number, since it is smaller than the sum of its proper divisors (1946493763200).

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

480950870400 is a wasteful number, since it uses less digits than its factorization.

480950870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 480950870400 in words is "four hundred eighty billion, nine hundred fifty million, eight hundred seventy thousand, four hundred".