480025376 has 48 divisors (see below), whose sum is σ = 974913408. Its totient is φ = 232512000.

The previous prime is 480025333. The next prime is 480025397. The reversal of 480025376 is 673520084.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 196901 + ... + 199323.

It is an arithmetic number, because the mean of its divisors is an integer number (20310696).

Almost surely, 2^480025376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480025376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487456704).

480025376 is an abundant number, since it is smaller than the sum of its proper divisors (494888032).

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

480025376 is a wasteful number, since it uses less digits than its factorization.

480025376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 480025376 is about 21909.4814178702. The cubic root of 480025376 is about 782.9873257241.

The spelling of 480025376 in words is "four hundred eighty million, twenty-five thousand, three hundred seventy-six".