320486400 has 396 divisors, whose sum is σ = 1247310792. Its totient is φ = 78151680.

The previous prime is 320486399. The next prime is 320486417. The reversal of 320486400 is 4684023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2995147 + ... + 2995253.

Almost surely, 2^320486400 is an apocalyptic number.

320486400 is a gapful number since it is divisible by the number (30) 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 320486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623655396).

320486400 is an abundant number, since it is smaller than the sum of its proper divisors (926824392).

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

320486400 is a wasteful number, since it uses less digits than its factorization.

320486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 320486400 is about 17902.1339510127. The cubic root of 320486400 is about 684.3367583561.

The spelling of 320486400 in words is "three hundred twenty million, four hundred eighty-six thousand, four hundred".