240729984 has 192 divisors, whose sum is σ = 766799280. Its totient is φ = 72483840.

The previous prime is 240729967. The next prime is 240729997. The reversal of 240729984 is 489927042.

240729984 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1533234 + ... + 1533390.

Almost surely, 2^240729984 is an apocalyptic number.

240729984 is a gapful number since it is divisible by the number (24) 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 240729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383399640).

240729984 is an abundant number, since it is smaller than the sum of its proper divisors (526069296).

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

240729984 is a wasteful number, since it uses less digits than its factorization.

240729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 240729984 is about 15515.4756291904. The cubic root of 240729984 is about 622.0759273599.

The spelling of 240729984 in words is "two hundred forty million, seven hundred twenty-nine thousand, nine hundred eighty-four".