478563120 has 320 divisors, whose sum is σ = 1946542080. Its totient is φ = 105753600.

The previous prime is 478563091. The next prime is 478563121. The reversal of 478563120 is 21365874.

478563120 is a `hidden beast` number, since 4 + 78 + 563 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (478563121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468210 + ... + 469230.

It is an arithmetic number, because the mean of its divisors is an integer number (6082944).

Almost surely, 2^478563120 is an apocalyptic number.

478563120 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 478563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973271040).

478563120 is an abundant number, since it is smaller than the sum of its proper divisors (1467978960).

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

478563120 is a wasteful number, since it uses less digits than its factorization.

478563120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 478563120 is about 21876.0855730636. The cubic root of 478563120 is about 782.1914702648.

The spelling of 478563120 in words is "four hundred seventy-eight million, five hundred sixty-three thousand, one hundred twenty".