478171200 has 336 divisors, whose sum is σ = 1728500480. Its totient is φ = 115015680.

The previous prime is 478171181. The next prime is 478171207. The reversal of 478171200 is 2171874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (478171207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4929552 + ... + 4929648.

Almost surely, 2^478171200 is an apocalyptic number.

478171200 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 478171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864250240).

478171200 is an abundant number, since it is smaller than the sum of its proper divisors (1250329280).

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

478171200 is a wasteful number, since it uses less digits than its factorization.

478171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 478171200 is about 21867.1260114355. The cubic root of 478171200 is about 781.9778863151.

The spelling of 478171200 in words is "four hundred seventy-eight million, one hundred seventy-one thousand, two hundred".