480484872 has 384 divisors, whose sum is σ = 1710858240. Its totient is φ = 123171840.

The previous prime is 480484859. The next prime is 480484877. The reversal of 480484872 is 278484084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480484877) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7171383 + ... + 7171449.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^480484872 is an apocalyptic number.

480484872 is a gapful number since it is divisible by the number (42) 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 480484872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

480484872 is an abundant number, since it is smaller than the sum of its proper divisors (1230373368).

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

480484872 is a wasteful number, since it uses less digits than its factorization.

480484872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 480484872 is about 21919.9651459577. The cubic root of 480484872 is about 783.2370797480.

It can be divided in two parts, 4804 and 84872, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 480484872 in words is "four hundred eighty million, four hundred eighty-four thousand, eight hundred seventy-two".