481289472 has 144 divisors (see below), whose sum is σ = 1434888000. Its totient is φ = 159123456.

The previous prime is 481289453. The next prime is 481289503. The reversal of 481289472 is 274982184.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237054 + ... + 1237442.

It is an arithmetic number, because the mean of its divisors is an integer number (9964500).

Almost surely, 2^481289472 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 481289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717444000).

481289472 is an abundant number, since it is smaller than the sum of its proper divisors (953598528).

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

481289472 is a wasteful number, since it uses less digits than its factorization.

481289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 481289472 is about 21938.3106004086. The cubic root of 481289472 is about 783.6740280289.

It can be divided in two parts, 48128 and 9472, that added together give a square (57600 = 240²).

The spelling of 481289472 in words is "four hundred eighty-one million, two hundred eighty-nine thousand, four hundred seventy-two".