480403872 has 240 divisors, whose sum is σ = 1556006760. Its totient is φ = 144488448.

The previous prime is 480403843. The next prime is 480403907. The reversal of 480403872 is 278304084.

It can be written as a sum of positive squares in 4 ways, for example, as 263607696 + 216796176 = 16236^2 + 14724^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1785754 + ... + 1786022.

Almost surely, 2^480403872 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 480403872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778003380).

480403872 is an abundant number, since it is smaller than the sum of its proper divisors (1075602888).

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

480403872 is a wasteful number, since it uses less digits than its factorization.

480403872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 480403872 is about 21918.1174374078. The cubic root of 480403872 is about 783.1930646482.

The spelling of 480403872 in words is "four hundred eighty million, four hundred three thousand, eight hundred seventy-two".