480254976 has 198 divisors, whose sum is σ = 1467224096. Its totient is φ = 151142400.

The previous prime is 480254953. The next prime is 480254989. The reversal of 480254976 is 679452084.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11713516 + ... + 11713556.

Almost surely, 2^480254976 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 480254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733612048).

480254976 is an abundant number, since it is smaller than the sum of its proper divisors (986969120).

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

480254976 is a wasteful number, since it uses less digits than its factorization.

480254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 480254976 is about 21914.7205320990. The cubic root of 480254976 is about 783.1121422055.

The spelling of 480254976 in words is "four hundred eighty million, two hundred fifty-four thousand, nine hundred seventy-six".