240483840 has 160 divisors (see below), whose sum is σ = 777512736. Its totient is φ = 63406080.

The previous prime is 240483829. The next prime is 240483889. The reversal of 240483840 is 48384042.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×240483840² = 115664954602291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328550 + ... + 1328730.

Almost surely, 2^240483840 is an apocalyptic number.

240483840 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 240483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388756368).

240483840 is an abundant number, since it is smaller than the sum of its proper divisors (537028896).

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

240483840 is a wasteful number, since it uses less digits than its factorization.

240483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 240483840 is about 15507.5413912071. The cubic root of 240483840 is about 621.8638329182.

The spelling of 240483840 in words is "two hundred forty million, four hundred eighty-three thousand, eight hundred forty".