478143360 has 384 divisors, whose sum is σ = 1847383200. Its totient is φ = 113246208.

The previous prime is 478143317. The next prime is 478143373. The reversal of 478143360 is 63341874.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860352 + ... + 1860608.

Almost surely, 2^478143360 is an apocalyptic number.

478143360 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 478143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923691600).

478143360 is an abundant number, since it is smaller than the sum of its proper divisors (1369239840).

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

478143360 is a wasteful number, since it uses less digits than its factorization.

478143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 478143360 is about 21866.4894301760. The cubic root of 478143360 is about 781.9627099606.

The spelling of 478143360 in words is "four hundred seventy-eight million, one hundred forty-three thousand, three hundred sixty".