481538304 has 288 divisors, whose sum is σ = 1607074560. Its totient is φ = 141115392.

The previous prime is 481538279. The next prime is 481538333. The reversal of 481538304 is 403835184.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066572 + ... + 2066804.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^481538304 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 481538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

481538304 is an abundant number, since it is smaller than the sum of its proper divisors (1125536256).

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

481538304 is a wasteful number, since it uses less digits than its factorization.

481538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 481538304 is about 21943.9810426458. The cubic root of 481538304 is about 783.8090608179.

The spelling of 481538304 in words is "four hundred eighty-one million, five hundred thirty-eight thousand, three hundred four".