478493568 has 320 divisors, whose sum is σ = 1718006400. Its totient is φ = 129143808.

The previous prime is 478493563. The next prime is 478493569. The reversal of 478493568 is 865394874.

478493568 is a `hidden beast` number, since 4 + 78 + 4 + 9 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478493563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378771 + ... + 1379117.

It is an arithmetic number, because the mean of its divisors is an integer number (5368770).

Almost surely, 2^478493568 is an apocalyptic number.

478493568 is a gapful number since it is divisible by the number (48) 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 478493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859003200).

478493568 is an abundant number, since it is smaller than the sum of its proper divisors (1239512832).

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

478493568 is a wasteful number, since it uses less digits than its factorization.

478493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 478493568 is about 21874.4958341901. The cubic root of 478493568 is about 782.1535751473.

The spelling of 478493568 in words is "four hundred seventy-eight million, four hundred ninety-three thousand, five hundred sixty-eight".