481313232 has 160 divisors (see below), whose sum is σ = 1446931200. Its totient is φ = 152990208.

The previous prime is 481313219. The next prime is 481313237. The reversal of 481313232 is 232313184.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 481313196 and 481313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481313237) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1290198 + ... + 1290570.

It is an arithmetic number, because the mean of its divisors is an integer number (9043320).

Almost surely, 2^481313232 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 481313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723465600).

481313232 is an abundant number, since it is smaller than the sum of its proper divisors (965617968).

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

481313232 is a wasteful number, since it uses less digits than its factorization.

481313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 481313232 is about 21938.8521121776. The cubic root of 481313232 is about 783.6869237944.

The spelling of 481313232 in words is "four hundred eighty-one million, three hundred thirteen thousand, two hundred thirty-two".