478138291200 has 528 divisors, whose sum is σ = 1760307333120. Its totient is φ = 127180800000.

The previous prime is 478138291177. The next prime is 478138291259. The reversal of 478138291200 is 2192831874.

It is a happy number.

478138291200 is a `hidden beast` number, since 478 + 1 + 38 + 29 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415410625 + ... + 415411775.

Almost surely, 2^478138291200 is an apocalyptic number.

478138291200 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 478138291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880153666560).

478138291200 is an abundant number, since it is smaller than the sum of its proper divisors (1282169041920).

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

478138291200 is a wasteful number, since it uses less digits than its factorization.

478138291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 478138291200 in words is "four hundred seventy-eight billion, one hundred thirty-eight million, two hundred ninety-one thousand, two hundred".