481928832 has 256 divisors, whose sum is σ = 1774310400. Its totient is φ = 125107200.

The previous prime is 481928831. The next prime is 481928849. The reversal of 481928832 is 238829184.

481928832 is a `hidden beast` number, since 481 + 92 + 8 + 83 + 2 = 666.

It is a super-2 number, since 2×481928832² = 464510798225768448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (481928831) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 265207 + ... + 267017.

It is an arithmetic number, because the mean of its divisors is an integer number (6930900).

Almost surely, 2^481928832 is an apocalyptic number.

481928832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887155200).

481928832 is an abundant number, since it is smaller than the sum of its proper divisors (1292381568).

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

481928832 is a wasteful number, since it uses less digits than its factorization.

481928832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1834 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 481928832 is about 21952.8775334807. The cubic root of 481928832 is about 784.0208935151.

The spelling of 481928832 in words is "four hundred eighty-one million, nine hundred twenty-eight thousand, eight hundred thirty-two".