478739200 has 216 divisors, whose sum is σ = 1297694720. Its totient is φ = 174182400.

The previous prime is 478739197. The next prime is 478739201. The reversal of 478739200 is 2937874.

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 (478739201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3769537 + ... + 3769663.

Almost surely, 2^478739200 is an apocalyptic number.

478739200 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 478739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648847360).

478739200 is an abundant number, since it is smaller than the sum of its proper divisors (818955520).

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

478739200 is a wasteful number, since it uses less digits than its factorization.

478739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 478739200 is about 21880.1096889389. The cubic root of 478739200 is about 782.2873903083.

The spelling of 478739200 in words is "four hundred seventy-eight million, seven hundred thirty-nine thousand, two hundred".