481070304 has 144 divisors (see below), whose sum is σ = 1607349744. Its totient is φ = 134553600.

The previous prime is 481070297. The next prime is 481070309. The reversal of 481070304 is 403070184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481070309) 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 23 ways as a sum of consecutive naturals, for example, 35344 + ... + 47024.

It is an arithmetic number, because the mean of its divisors is an integer number (11162151).

Almost surely, 2^481070304 is an apocalyptic number.

481070304 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 481070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803674872).

481070304 is an abundant number, since it is smaller than the sum of its proper divisors (1126279440).

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

481070304 is a wasteful number, since it uses less digits than its factorization.

481070304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 481070304 is about 21933.3149341362. The cubic root of 481070304 is about 783.5550543432. Note that the first 3 decimals are identical.

The spelling of 481070304 in words is "four hundred eighty-one million, seventy thousand, three hundred four".