478859126054400 has 7200 divisors, whose sum is σ = 2414439186001920. Its totient is φ = 92553560064000.

The previous prime is 478859126054357. The next prime is 478859126054411. The reversal of 478859126054400 is 4450621958874.

It is a happy number.

478859126054400 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 5 + 9 + 12 + 605 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 389000101785 + ... + 389000103015.

Almost surely, 2^{478859126054400} is an apocalyptic number.

478859126054400 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 478859126054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207219593000960).

478859126054400 is an abundant number, since it is smaller than the sum of its proper divisors (1935580059947520).

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

478859126054400 is a wasteful number, since it uses less digits than its factorization.

478859126054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 478859126054400 in words is "four hundred seventy-eight trillion, eight hundred fifty-nine billion, one hundred twenty-six million, fifty-four thousand, four hundred".