478789920 has 384 divisors, whose sum is σ = 1950842880. Its totient is φ = 107412480.

The previous prime is 478789903. The next prime is 478789931. The reversal of 478789920 is 29987874.

478789920 is a `hidden beast` number, since 478 + 7 + 89 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146929 + ... + 2147151.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^478789920 is an apocalyptic number.

478789920 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 478789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975421440).

478789920 is an abundant number, since it is smaller than the sum of its proper divisors (1472052960).

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

478789920 is a wasteful number, since it uses less digits than its factorization.

478789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 478789920 is about 21881.2687017915. The cubic root of 478789920 is about 782.3150157985.

The spelling of 478789920 in words is "four hundred seventy-eight million, seven hundred eighty-nine thousand, nine hundred twenty".