240042400 has 72 divisors (see below), whose sum is σ = 631108044. Its totient is φ = 88627200.

The previous prime is 240042389. The next prime is 240042403. The reversal of 240042400 is 4240042.

240042400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43930384 + 196112016 = 6628^2 + 14004^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (240042403) 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, 1141 + ... + 21940.

Almost surely, 2^240042400 is an apocalyptic number.

240042400 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 240042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315554022).

240042400 is an abundant number, since it is smaller than the sum of its proper divisors (391065644).

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

240042400 is a wasteful number, since it uses less digits than its factorization.

240042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23114 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240042400 is about 15493.3017785106. The cubic root of 240042400 is about 621.4830953298.

Adding to 240042400 its reverse (4240042), we get a palindrome (244282442).

The spelling of 240042400 in words is "two hundred forty million, forty-two thousand, four hundred".