480381732 has 48 divisors (see below), whose sum is σ = 1254563520. Its totient is φ = 158953536.

The previous prime is 480381721. The next prime is 480381751. The reversal of 480381732 is 237183084.

480381732 is a `hidden beast` number, since 480 + 3 + 8 + 173 + 2 = 666.

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 15 ways as a sum of consecutive naturals, for example, 1438 + ... + 31029.

It is an arithmetic number, because the mean of its divisors is an integer number (26136740).

Almost surely, 2^480381732 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 480381732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627281760).

480381732 is an abundant number, since it is smaller than the sum of its proper divisors (774181788).

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

480381732 is a wasteful number, since it uses less digits than its factorization.

480381732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32617 (or 32609 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480381732 is about 21917.6123699640. The cubic root of 480381732 is about 783.1810329933.

It can be divided in two parts, 48038 and 1732, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 480381732 in words is "four hundred eighty million, three hundred eighty-one thousand, seven hundred thirty-two".