323974080 has 280 divisors, whose sum is σ = 1194937920. Its totient is φ = 83220480.

The previous prime is 323974061. The next prime is 323974081. The reversal of 323974080 is 80479323.

323974080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323974081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751465 + ... + 751895.

Almost surely, 2^323974080 is an apocalyptic number.

323974080 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 323974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597468960).

323974080 is an abundant number, since it is smaller than the sum of its proper divisors (870963840).

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

323974080 is a wasteful number, since it uses less digits than its factorization.

323974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 323974080 is about 17999.2799855994. The cubic root of 323974080 is about 686.8102296157.

The spelling of 323974080 in words is "three hundred twenty-three million, nine hundred seventy-four thousand, eighty".