240642400 has 72 divisors (see below), whose sum is σ = 590446584. Its totient is φ = 95769600.

The previous prime is 240642379. The next prime is 240642403. The reversal of 240642400 is 4246042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240642403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185755 + ... + 187045.

It is an arithmetic number, because the mean of its divisors is an integer number (8200647).

Almost surely, 2^240642400 is an apocalyptic number.

240642400 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 240642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295223292).

240642400 is an abundant number, since it is smaller than the sum of its proper divisors (349804184).

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

240642400 is a wasteful number, since it uses less digits than its factorization.

240642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 240642400 is about 15512.6529001328. The cubic root of 240642400 is about 622.0004755944. Note that the first 3 decimals are identical.

Adding to 240642400 its reverse (4246042), we get a palindrome (244888442).

The spelling of 240642400 in words is "two hundred forty million, six hundred forty-two thousand, four hundred".