481193472 has 80 divisors (see below), whose sum is σ = 1286524800. Its totient is φ = 159823872.

The previous prime is 481193467. The next prime is 481193477. The reversal of 481193472 is 274391184.

It is an interprime number because it is at equal distance from previous prime (481193467) and next prime (481193477).

It is a self number, because there is not a number n which added to its sum of digits gives 481193472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481193477) 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 7 ways as a sum of consecutive naturals, for example, 803029 + ... + 803627.

It is an arithmetic number, because the mean of its divisors is an integer number (16081560).

Almost surely, 2^481193472 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 481193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643262400).

481193472 is an abundant number, since it is smaller than the sum of its proper divisors (805331328).

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

481193472 is an equidigital number, since it uses as much as digits as its factorization.

481193472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 481193472 is about 21936.1225379510. The cubic root of 481193472 is about 783.6219196038.

The spelling of 481193472 in words is "four hundred eighty-one million, one hundred ninety-three thousand, four hundred seventy-two".