481488384 has 80 divisors (see below), whose sum is σ = 1381442832. Its totient is φ = 148144128.

The previous prime is 481488383. The next prime is 481488389. The reversal of 481488384 is 483884184.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481488383) 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 7 ways as a sum of consecutive naturals, for example, 7912 + ... + 32024.

Almost surely, 2^481488384 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 481488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690721416).

481488384 is an abundant number, since it is smaller than the sum of its proper divisors (899954448).

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

481488384 is a wasteful number, since it uses less digits than its factorization.

481488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147 (or 24131 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 481488384 is about 21942.8435714244. The cubic root of 481488384 is about 783.7819746373.

The spelling of 481488384 in words is "four hundred eighty-one million, four hundred eighty-eight thousand, three hundred eighty-four".