480810456 has 144 divisors (see below), whose sum is σ = 1581393840. Its totient is φ = 129254400.

The previous prime is 480810437. The next prime is 480810457. The reversal of 480810456 is 654018084.

It is a super-3 number, since 3×480810456³ (a number of 27 digits) contains 333 as substring.

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 480810456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480810457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144006 + ... + 147306.

Almost surely, 2^480810456 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 480810456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790696920).

480810456 is an abundant number, since it is smaller than the sum of its proper divisors (1100583384).

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

480810456 is a wasteful number, since it uses less digits than its factorization.

480810456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480810456 is about 21927.3905424243. The cubic root of 480810456 is about 783.4139510007.

The spelling of 480810456 in words is "four hundred eighty million, eight hundred ten thousand, four hundred fifty-six".