478475100 has 180 divisors, whose sum is σ = 1633185400. Its totient is φ = 120839040.

The previous prime is 478475099. The next prime is 478475131. The reversal of 478475100 is 1574874.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 152346 + ... + 155454.

Almost surely, 2^478475100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478475100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816592700).

478475100 is an abundant number, since it is smaller than the sum of its proper divisors (1154710300).

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

478475100 is a wasteful number, since it uses less digits than its factorization.

478475100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 478475100 is about 21874.0736946733. The cubic root of 478475100 is about 782.1435123175.

The spelling of 478475100 in words is "four hundred seventy-eight million, four hundred seventy-five thousand, one hundred".