481424000 has 64 divisors (see below), whose sum is σ = 1196980200. Its totient is φ = 192563200.

The previous prime is 481423997. The next prime is 481424023. The reversal of 481424000 is 424184.

It can be written as a sum of positive squares in 4 ways, for example, as 139617856 + 341806144 = 11816^2 + 18488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 956 + ... + 31044.

Almost surely, 2^481424000 is an apocalyptic number.

481424000 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 481424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598490100).

481424000 is an abundant number, since it is smaller than the sum of its proper divisors (715556200).

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

481424000 is an equidigital number, since it uses as much as digits as its factorization.

481424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30118 (or 30096 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 481424000 is about 21941.3764381362. The cubic root of 481424000 is about 783.7470376448.

Adding to 481424000 its reverse (424184), we get a palindrome (481848184).

The spelling of 481424000 in words is "four hundred eighty-one million, four hundred twenty-four thousand".