240753864 has 128 divisors (see below), whose sum is σ = 722736000. Its totient is φ = 66023424.

The previous prime is 240753839. The next prime is 240753869. The reversal of 240753864 is 468357042.

It is a happy number.

240753864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (240753869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99582 + ... + 101970.

It is an arithmetic number, because the mean of its divisors is an integer number (5646375).

Almost surely, 2^240753864 is an apocalyptic number.

240753864 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 240753864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361368000).

240753864 is an abundant number, since it is smaller than the sum of its proper divisors (481982136).

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

240753864 is a wasteful number, since it uses less digits than its factorization.

240753864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 240753864 is about 15516.2451643431. The cubic root of 240753864 is about 622.0964963002.

The spelling of 240753864 in words is "two hundred forty million, seven hundred fifty-three thousand, eight hundred sixty-four".