481383302400 has 3456 divisors, whose sum is σ = 2493520404480. Its totient is φ = 88318771200.

The previous prime is 481383302359. The next prime is 481383302417. The reversal of 481383302400 is 4203383184.

It is a happy number.

481383302400 is a `hidden beast` number, since 4 + 8 + 1 + 383 + 30 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 20929708789 + ... + 20929708811.

Almost surely, 2^481383302400 is an apocalyptic number.

481383302400 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 481383302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246760202240).

481383302400 is an abundant number, since it is smaller than the sum of its proper divisors (2012137102080).

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

481383302400 is a wasteful number, since it uses less digits than its factorization.

481383302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 481383302400 its reverse (4203383184), we get a palindrome (485586685584).

The spelling of 481383302400 in words is "four hundred eighty-one billion, three hundred eighty-three million, three hundred two thousand, four hundred".