478044000 has 432 divisors, whose sum is σ = 1980853056. Its totient is φ = 108864000.

The previous prime is 478043957. The next prime is 478044011. The reversal of 478044000 is 440874.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763865 + ... + 1764135.

It is an arithmetic number, because the mean of its divisors is an integer number (4585308).

Almost surely, 2^478044000 is an apocalyptic number.

478044000 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 478044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990426528).

478044000 is an abundant number, since it is smaller than the sum of its proper divisors (1502809056).

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

478044000 is a wasteful number, since it uses less digits than its factorization.

478044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 478044000 is about 21864.2173424982. The cubic root of 478044000 is about 781.9085412713.

Adding to 478044000 its reverse (440874), we get a palindrome (478484874).

The spelling of 478044000 in words is "four hundred seventy-eight million, forty-four thousand".