240099440 has 80 divisors (see below), whose sum is σ = 644101632. Its totient is φ = 81530112.

The previous prime is 240099437. The next prime is 240099443. The reversal of 240099440 is 44990042.

It is an interprime number because it is at equal distance from previous prime (240099437) and next prime (240099443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 240099397 and 240099406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240099443) by changing a digit.

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, 57917 + ... + 61923.

Almost surely, 2^240099440 is an apocalyptic number.

240099440 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 240099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322050816).

240099440 is an abundant number, since it is smaller than the sum of its proper divisors (404002192).

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

240099440 is a wasteful number, since it uses less digits than its factorization.

240099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 240099440 is about 15495.1424646565. The cubic root of 240099440 is about 621.5323180064.

The spelling of 240099440 in words is "two hundred forty million, ninety-nine thousand, four hundred forty".