324959040 has 392 divisors, whose sum is σ = 1332585600. Its totient is φ = 73903104.

The previous prime is 324959039. The next prime is 324959051. The reversal of 324959040 is 40959423.

324959040 is a `hidden beast` number, since 3 + 24 + 9 + 590 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 324958986 and 324959004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632861 + ... + 1633059.

Almost surely, 2^324959040 is an apocalyptic number.

324959040 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 324959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666292800).

324959040 is an abundant number, since it is smaller than the sum of its proper divisors (1007626560).

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

324959040 is an equidigital number, since it uses as much as digits as its factorization.

324959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 324959040 is about 18026.6203155223. The cubic root of 324959040 is about 687.5055488257.

The spelling of 324959040 in words is "three hundred twenty-four million, nine hundred fifty-nine thousand, forty".