480735232 has 52 divisors (see below), whose sum is σ = 967324336. Its totient is φ = 238878720.

The previous prime is 480735217. The next prime is 480735247. The reversal of 480735232 is 232537084.

It is an interprime number because it is at equal distance from previous prime (480735217) and next prime (480735247).

It is a super-3 number, since 3×480735232³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 986893 + ... + 987379.

Almost surely, 2^480735232 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 480735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483662168).

480735232 is an abundant number, since it is smaller than the sum of its proper divisors (486589104).

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

480735232 is an equidigital number, since it uses as much as digits as its factorization.

480735232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 480735232 is about 21925.6751777454. The cubic root of 480735232 is about 783.3730931783.

The spelling of 480735232 in words is "four hundred eighty million, seven hundred thirty-five thousand, two hundred thirty-two".