240984000 has 168 divisors, whose sum is σ = 862297488. Its totient is φ = 64243200.

The previous prime is 240983971. The next prime is 240984031. The reversal of 240984000 is 489042.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70327 + ... + 73673.

Almost surely, 2^240984000 is an apocalyptic number.

240984000 is a gapful number since it is divisible by the number (20) 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 240984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431148744).

240984000 is an abundant number, since it is smaller than the sum of its proper divisors (621313488).

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

240984000 is a wasteful number, since it uses less digits than its factorization.

240984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 240984000 is about 15523.6593624055. The cubic root of 240984000 is about 622.2946533218.

The spelling of 240984000 in words is "two hundred forty million, nine hundred eighty-four thousand".