481442400 has 288 divisors, whose sum is σ = 1799884800. Its totient is φ = 124070400.

The previous prime is 481442399. The next prime is 481442411. The reversal of 481442400 is 4244184.

It is a happy number.

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 (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 669241 + ... + 669959.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^481442400 is an apocalyptic number.

481442400 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 481442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

481442400 is an abundant number, since it is smaller than the sum of its proper divisors (1318442400).

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

481442400 is a wasteful number, since it uses less digits than its factorization.

481442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 481442400 is about 21941.7957332576. The cubic root of 481442400 is about 783.7570224411.

Adding to 481442400 its reverse (4244184), we get a palindrome (485686584).

The spelling of 481442400 in words is "four hundred eighty-one million, four hundred forty-two thousand, four hundred".