480943872 has 144 divisors (see below), whose sum is σ = 1506264480. Its totient is φ = 150847488.

The previous prime is 480943867. The next prime is 480943891. The reversal of 480943872 is 278349084.

480943872 is a `hidden beast` number, since 480 + 94 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×480943872³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115458 + ... + 119550.

It is an arithmetic number, because the mean of its divisors is an integer number (10460170).

Almost surely, 2^480943872 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 480943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753132240).

480943872 is an abundant number, since it is smaller than the sum of its proper divisors (1025320608).

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

480943872 is a wasteful number, since it uses less digits than its factorization.

480943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 480943872 is about 21930.4325538736. The cubic root of 480943872 is about 783.4864052554.

The spelling of 480943872 in words is "four hundred eighty million, nine hundred forty-three thousand, eight hundred seventy-two".