480533256 has 256 divisors, whose sum is σ = 1647360000. Its totient is φ = 126717696.

The previous prime is 480533239. The next prime is 480533269. The reversal of 480533256 is 652335084.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480533256.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235110 + ... + 1235498.

It is an arithmetic number, because the mean of its divisors is an integer number (6435000).

Almost surely, 2^480533256 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 480533256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823680000).

480533256 is an abundant number, since it is smaller than the sum of its proper divisors (1166826744).

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

480533256 is a wasteful number, since it uses less digits than its factorization.

480533256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 480533256 is about 21921.0687695650. The cubic root of 480533256 is about 783.2633690744.

The spelling of 480533256 in words is "four hundred eighty million, five hundred thirty-three thousand, two hundred fifty-six".