478120320 has 320 divisors, whose sum is σ = 1786134240. Its totient is φ = 121651200.

The previous prime is 478120301. The next prime is 478120337. The reversal of 478120320 is 23021874.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192120 + ... + 1192520.

Almost surely, 2^478120320 is an apocalyptic number.

478120320 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 478120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893067120).

478120320 is an abundant number, since it is smaller than the sum of its proper divisors (1308013920).

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

478120320 is a wasteful number, since it uses less digits than its factorization.

478120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 478120320 is about 21865.9625902909. The cubic root of 478120320 is about 781.9501497735.

The spelling of 478120320 in words is "four hundred seventy-eight million, one hundred twenty thousand, three hundred twenty".