478800000 has 576 divisors, whose sum is σ = 2071742400. Its totient is φ = 103680000.

The previous prime is 478799999. The next prime is 478800001. The reversal of 478800000 is 8874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (478799999) and next prime (478800001).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25199991 + ... + 25200009.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^478800000 is an apocalyptic number.

478800000 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 478800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).

478800000 is an abundant number, since it is smaller than the sum of its proper divisors (1592942400).

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

478800000 is an equidigital number, since it uses as much as digits as its factorization.

478800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 478800000 is about 21881.4990345726. The cubic root of 478800000 is about 782.3205058055.

Adding to 478800000 its reverse (8874), we get a palindrome (478808874).

The spelling of 478800000 in words is "four hundred seventy-eight million, eight hundred thousand".