478116500400 has 1080 divisors, whose sum is σ = 2132884915200. Its totient is φ = 98059852800.

The previous prime is 478116500369. The next prime is 478116500429. The reversal of 478116500400 is 4005611874.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 153290041 + ... + 153293159.

It is an arithmetic number, because the mean of its divisors is an integer number (1974893440).

Almost surely, 2^478116500400 is an apocalyptic number.

478116500400 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 478116500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066442457600).

478116500400 is an abundant number, since it is smaller than the sum of its proper divisors (1654768414800).

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

478116500400 is a wasteful number, since it uses less digits than its factorization.

478116500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 478116500400 in words is "four hundred seventy-eight billion, one hundred sixteen million, five hundred thousand, four hundred".