481344000 has 320 divisors, whose sum is σ = 1685249280. Its totient is φ = 121651200.

The previous prime is 481343983. The next prime is 481344047. The reversal of 481344000 is 443184.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415946 + ... + 4416054.

It is an arithmetic number, because the mean of its divisors is an integer number (5266404).

Almost surely, 2^481344000 is an apocalyptic number.

481344000 is a gapful number since it is divisible by the number (40) 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 481344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842624640).

481344000 is an abundant number, since it is smaller than the sum of its proper divisors (1203905280).

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

481344000 is a wasteful number, since it uses less digits than its factorization.

481344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 481344000 is about 21939.5533227092. The cubic root of 481344000 is about 783.7036225289.

Adding to 481344000 its reverse (443184), we get a palindrome (481787184).

The spelling of 481344000 in words is "four hundred eighty-one million, three hundred forty-four thousand".