481264032 has 96 divisors (see below), whose sum is σ = 1307238912. Its totient is φ = 154911744.

The previous prime is 481263997. The next prime is 481264073. The reversal of 481264032 is 230462184.

It is a tau number, because it is divible by the number of its divisors (96).

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, 557233 + ... + 558095.

It is an arithmetic number, because the mean of its divisors is an integer number (13617072).

Almost surely, 2^481264032 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 481264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653619456).

481264032 is an abundant number, since it is smaller than the sum of its proper divisors (825974880).

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

481264032 is a wasteful number, since it uses less digits than its factorization.

481264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 481264032 is about 21937.7307851108. The cubic root of 481264032 is about 783.6602199711.

The spelling of 481264032 in words is "four hundred eighty-one million, two hundred sixty-four thousand, thirty-two".