478170000 has 800 divisors, whose sum is σ = 2231285760. Its totient is φ = 95040000.

The previous prime is 478169971. The next prime is 478170001. The reversal of 478170000 is 71874.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (478170001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20789989 + ... + 20790011.

Almost surely, 2^478170000 is an apocalyptic number.

478170000 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 478170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115642880).

478170000 is an abundant number, since it is smaller than the sum of its proper divisors (1753115760).

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

478170000 is a wasteful number, since it uses less digits than its factorization.

478170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 478170000 is about 21867.0985729703. The cubic root of 478170000 is about 781.9772321740.

The spelling of 478170000 in words is "four hundred seventy-eight million, one hundred seventy thousand".