478768320 has 336 divisors, whose sum is σ = 1757403648. Its totient is φ = 124001280.

The previous prime is 478768313. The next prime is 478768343. The reversal of 478768320 is 23867874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3654655 + ... + 3654785.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^478768320 is an apocalyptic number.

478768320 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 478768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878701824).

478768320 is an abundant number, since it is smaller than the sum of its proper divisors (1278635328).

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

478768320 is a wasteful number, since it uses less digits than its factorization.

478768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 478768320 is about 21880.7751233817. The cubic root of 478768320 is about 782.3032512384.

The spelling of 478768320 in words is "four hundred seventy-eight million, seven hundred sixty-eight thousand, three hundred twenty".