478330320 has 160 divisors (see below), whose sum is σ = 1681142400. Its totient is φ = 111532032.

The previous prime is 478330291. The next prime is 478330397. The reversal of 478330320 is 23033874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55246 + ... + 63314.

It is an arithmetic number, because the mean of its divisors is an integer number (10507140).

Almost surely, 2^478330320 is an apocalyptic number.

478330320 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 478330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840571200).

478330320 is an abundant number, since it is smaller than the sum of its proper divisors (1202812080).

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

478330320 is a wasteful number, since it uses less digits than its factorization.

478330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 478330320 is about 21870.7640470103. The cubic root of 478330320 is about 782.0646157277.

The spelling of 478330320 in words is "four hundred seventy-eight million, three hundred thirty thousand, three hundred twenty".