481630304 has 48 divisors (see below), whose sum is σ = 1004306688. Its totient is φ = 226883712.

The previous prime is 481630301. The next prime is 481630381. The reversal of 481630304 is 403036184.

It is a super-2 number, since 2×481630304² = 463935499462264832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481630301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44429 + ... + 54195.

It is an arithmetic number, because the mean of its divisors is an integer number (20923056).

Almost surely, 2^481630304 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 481630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502153344).

481630304 is an abundant number, since it is smaller than the sum of its proper divisors (522676384).

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

481630304 is a wasteful number, since it uses less digits than its factorization.

481630304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 481630304 is about 21946.0771893293. The cubic root of 481630304 is about 783.8589743562.

Adding to 481630304 its reverse (403036184), we get a palindrome (884666488).

The spelling of 481630304 in words is "four hundred eighty-one million, six hundred thirty thousand, three hundred four".