240900 has 72 divisors (see below), whose sum is σ = 770784. Its totient is φ = 57600.

The previous prime is 240899. The next prime is 240913. The reversal of 240900 is 9042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 240900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264 + ... + 3336.

2²⁴⁰⁹⁰⁰ is an apocalyptic number.

240900 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 240900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385392).

240900 is an abundant number, since it is smaller than the sum of its proper divisors (529884).

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

240900 is a wasteful number, since it uses less digits than its factorization.

240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 240900 is about 490.8156476723. The cubic root of 240900 is about 62.2222340325. Note that the first 4 decimals are identical.

Adding to 240900 its reverse (9042), we get a palindrome (249942).

It can be divided in two parts, 240 and 900, that multiplied together give a cube (216000 = 60³).

The spelling of 240900 in words is "two hundred forty thousand, nine hundred".