481582400 has 168 divisors, whose sum is σ = 1293068280. Its totient is φ = 176517120.

The previous prime is 481582397. The next prime is 481582403. The reversal of 481582400 is 4285184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481582397) and next prime (481582403).

It can be written as a sum of positive squares in 12 ways, for example, as 476636224 + 4946176 = 21832^2 + 2224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481582403) 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 23 ways as a sum of consecutive naturals, for example, 3515132 + ... + 3515268.

It is an arithmetic number, because the mean of its divisors is an integer number (7696835).

Almost surely, 2^481582400 is an apocalyptic number.

481582400 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 481582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646534140).

481582400 is an abundant number, since it is smaller than the sum of its proper divisors (811485880).

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

481582400 is a wasteful number, since it uses less digits than its factorization.

481582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 481582400 is about 21944.9857598496. The cubic root of 481582400 is about 783.8329853871.

The spelling of 481582400 in words is "four hundred eighty-one million, five hundred eighty-two thousand, four hundred".