478344000 has 224 divisors, whose sum is σ = 1664208000. Its totient is φ = 120729600.

The previous prime is 478343959. The next prime is 478344001. The reversal of 478344000 is 443874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478344001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455476 + ... + 456524.

It is an arithmetic number, because the mean of its divisors is an integer number (7429500).

Almost surely, 2^478344000 is an apocalyptic number.

478344000 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 478344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104000).

478344000 is an abundant number, since it is smaller than the sum of its proper divisors (1185864000).

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

478344000 is a wasteful number, since it uses less digits than its factorization.

478344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 478344000 is about 21871.0767910499. The cubic root of 478344000 is about 782.0720712046.

Adding to 478344000 its reverse (443874), we get a palindrome (478787874).

The spelling of 478344000 in words is "four hundred seventy-eight million, three hundred forty-four thousand".