478449417600 has 768 divisors, whose sum is σ = 2183085273600. Its totient is φ = 99416678400.

The previous prime is 478449417587. The next prime is 478449417601. The reversal of 478449417600 is 6714944874.

478449417600 is a `hidden beast` number, since 4 + 7 + 84 + 494 + 1 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478449417601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6616842 + ... + 6688758.

It is an arithmetic number, because the mean of its divisors is an integer number (2842558950).

Almost surely, 2^478449417600 is an apocalyptic number.

478449417600 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 478449417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091542636800).

478449417600 is an abundant number, since it is smaller than the sum of its proper divisors (1704635856000).

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

478449417600 is a wasteful number, since it uses less digits than its factorization.

478449417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71968 (or 71945 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 478449417600 in words is "four hundred seventy-eight billion, four hundred forty-nine million, four hundred seventeen thousand, six hundred".