481106304 has 240 divisors, whose sum is σ = 1667280780. Its totient is φ = 137313792.

The previous prime is 481106299. The next prime is 481106309. The reversal of 481106304 is 403601184.

It is an interprime number because it is at equal distance from previous prime (481106299) and next prime (481106309).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481106309) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507559 + ... + 508505.

Almost surely, 2^481106304 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 481106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833640390).

481106304 is an abundant number, since it is smaller than the sum of its proper divisors (1186174476).

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

481106304 is an equidigital number, since it uses as much as digits as its factorization.

481106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 481106304 is about 21934.1355881649. The cubic root of 481106304 is about 783.5745991499.

Adding to 481106304 its reverse (403601184), we get a palindrome (884707488).

The spelling of 481106304 in words is "four hundred eighty-one million, one hundred six thousand, three hundred four".