323952480 has 384 divisors, whose sum is σ = 1219276800. Its totient is φ = 80179200.

The previous prime is 323952467. The next prime is 323952491. The reversal of 323952480 is 84259323.

323952480 is a `hidden beast` number, since 323 + 95 + 248 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5490691 + ... + 5490749.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^323952480 is an apocalyptic number.

323952480 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 323952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

323952480 is an abundant number, since it is smaller than the sum of its proper divisors (895324320).

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

323952480 is a wasteful number, since it uses less digits than its factorization.

323952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 323952480 is about 17998.6799515965. The cubic root of 323952480 is about 686.7949656058.

The spelling of 323952480 in words is "three hundred twenty-three million, nine hundred fifty-two thousand, four hundred eighty".