478086700 has 144 divisors (see below), whose sum is σ = 1291417344. Its totient is φ = 149587200.

The previous prime is 478086689. The next prime is 478086737. The reversal of 478086700 is 7680874.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 973455 + ... + 973945.

It is an arithmetic number, because the mean of its divisors is an integer number (8968176).

Almost surely, 2^478086700 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 478086700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645708672).

478086700 is an abundant number, since it is smaller than the sum of its proper divisors (813330644).

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

478086700 is a wasteful number, since it uses less digits than its factorization.

478086700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 478086700 is about 21865.1938020224. The cubic root of 478086700 is about 781.9318212070.

The spelling of 478086700 in words is "four hundred seventy-eight million, eighty-six thousand, seven hundred".