478016000 has 320 divisors, whose sum is σ = 1501403904. Its totient is φ = 147456000.

The previous prime is 478015999. The next prime is 478016023. The reversal of 478016000 is 610874.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927952 + ... + 4928048.

Almost surely, 2^478016000 is an apocalyptic number.

478016000 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 478016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

478016000 is an abundant number, since it is smaller than the sum of its proper divisors (1023387904).

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

478016000 is an equidigital number, since it uses as much as digits as its factorization.

478016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 478016000 is about 21863.5770174965. The cubic root of 478016000 is about 781.8932749872.

Adding to 478016000 its reverse (610874), we get a palindrome (478626874).

The spelling of 478016000 in words is "four hundred seventy-eight million, sixteen thousand".