240400 has 30 divisors (see below), whose sum is σ = 578522. Its totient is φ = 96000.

The previous prime is 240379. The next prime is 240421. The reversal of 240400 is 4042.

240400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240379) and next prime (240421).

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 197136 = 208^2 + 444^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

240400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100 + ... + 700.

2²⁴⁰⁴⁰⁰ is an apocalyptic number.

240400 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 240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289261).

240400 is an abundant number, since it is smaller than the sum of its proper divisors (338122).

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

240400 is a wasteful number, since it uses less digits than its factorization.

240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 240400 is about 490.3060268853. The cubic root of 240400 is about 62.1791557620.

Adding to 240400 its reverse (4042), we get a palindrome (244442).

The spelling of 240400 in words is "two hundred forty thousand, four hundred", and thus it is an iban number.