481406744 has 64 divisors (see below), whose sum is σ = 1159280640. Its totient is φ = 182160000.

The previous prime is 481406711. The next prime is 481406747. The reversal of 481406744 is 447604184.

It is a junction number, because it is equal to n+sod(n) for n = 481406698 and 481406707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481406747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369 + ... + 31119.

It is an arithmetic number, because the mean of its divisors is an integer number (18113760).

Almost surely, 2^481406744 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 481406744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579640320).

481406744 is an abundant number, since it is smaller than the sum of its proper divisors (677873896).

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

481406744 is a wasteful number, since it uses less digits than its factorization.

481406744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28800 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 481406744 is about 21940.9832049523. The cubic root of 481406744 is about 783.7376734111.

The spelling of 481406744 in words is "four hundred eighty-one million, four hundred six thousand, seven hundred forty-four".