480574080 has 512 divisors, whose sum is σ = 2026944000. Its totient is φ = 105283584.

The previous prime is 480574069. The next prime is 480574097. The reversal of 480574080 is 80475084.

480574080 is a `hidden beast` number, since 4 + 8 + 0 + 574 + 0 + 80 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 3507772 + ... + 3507908.

It is an arithmetic number, because the mean of its divisors is an integer number (3958875).

Almost surely, 2^480574080 is an apocalyptic number.

480574080 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 480574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013472000).

480574080 is an abundant number, since it is smaller than the sum of its proper divisors (1546369920).

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

480574080 is a wasteful number, since it uses less digits than its factorization.

480574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 480574080 is about 21921.9999087674. Note that the first 4 decimals coincide. The cubic root of 480574080 is about 783.2855493210.

The spelling of 480574080 in words is "four hundred eighty million, five hundred seventy-four thousand, eighty".