240143904 has 576 divisors, whose sum is σ = 990662400. Its totient is φ = 54190080.

The previous prime is 240143837. The next prime is 240143909. The reversal of 240143904 is 409341042.

It is a super-2 number, since 2×240143904² = 115338189256722432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240143909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14126104 + ... + 14126120.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^240143904 is an apocalyptic number.

240143904 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 240143904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

240143904 is an abundant number, since it is smaller than the sum of its proper divisors (750518496).

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

240143904 is a wasteful number, since it uses less digits than its factorization.

240143904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 240143904 is about 15496.5771704593. The cubic root of 240143904 is about 621.5706828150.

Adding to 240143904 its reverse (409341042), we get a palindrome (649484946).

It can be divided in two parts, 2401 and 43904, that multiplied together give a 7-th power (105413504 = 14⁷).

The spelling of 240143904 in words is "two hundred forty million, one hundred forty-three thousand, nine hundred four".