478375600 has 60 divisors (see below), whose sum is σ = 1160142264. Its totient is φ = 189544960.

The previous prime is 478375523. The next prime is 478375607. The reversal of 478375600 is 6573874.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (478375607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37212 + ... + 48388.

Almost surely, 2^478375600 is an apocalyptic number.

478375600 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 478375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580071132).

478375600 is an abundant number, since it is smaller than the sum of its proper divisors (681766664).

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

478375600 is a wasteful number, since it uses less digits than its factorization.

478375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 478375600 is about 21871.7991943964. The cubic root of 478375600 is about 782.0892923768.

The spelling of 478375600 in words is "four hundred seventy-eight million, three hundred seventy-five thousand, six hundred".