240610400 has 72 divisors (see below), whose sum is σ = 596289960. Its totient is φ = 94807680.

The previous prime is 240610399. The next prime is 240610423. The reversal of 240610400 is 4016042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

240610400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3591167 + ... + 3591233.

It is an arithmetic number, because the mean of its divisors is an integer number (8281805).

Almost surely, 2^240610400 is an apocalyptic number.

240610400 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 240610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298144980).

240610400 is an abundant number, since it is smaller than the sum of its proper divisors (355679560).

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

240610400 is an frugal number, since it uses more digits than its factorization.

240610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 240610400 is about 15511.6214497389. The cubic root of 240610400 is about 621.9729037041.

Adding to 240610400 its reverse (4016042), we get a palindrome (244626442).

The spelling of 240610400 in words is "two hundred forty million, six hundred ten thousand, four hundred".