481104624 has 640 divisors, whose sum is σ = 1919877120. Its totient is φ = 99532800.

The previous prime is 481104623. The next prime is 481104629. The reversal of 481104624 is 426401184.

It is a junction number, because it is equal to n+sod(n) for n = 481104591 and 481104600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481104623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15519489 + ... + 15519519.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^481104624 is an apocalyptic number.

481104624 is a gapful number since it is divisible by the number (44) 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 481104624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

481104624 is an abundant number, since it is smaller than the sum of its proper divisors (1438772496).

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

481104624 is a wasteful number, since it uses less digits than its factorization.

481104624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 481104624 is about 21934.0972916599. The cubic root of 481104624 is about 783.5736870806.

The spelling of 481104624 in words is "four hundred eighty-one million, one hundred four thousand, six hundred twenty-four".