240408 has 80 divisors (see below), whose sum is σ = 784080. Its totient is φ = 67392.

The previous prime is 240379. The next prime is 240421. The reversal of 240408 is 804042.

240408 = T₇ + T₈ + ... + T₁₁₂.

It is a happy number.

240408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4510 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (9801).

2²⁴⁰⁴⁰⁸ is an apocalyptic number.

240408 is a gapful number since it is divisible by the number (28) 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 240408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040).

240408 is an abundant number, since it is smaller than the sum of its proper divisors (543672).

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

240408 is a wasteful number, since it uses less digits than its factorization.

240408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 240408 is about 490.3141849875. The cubic root of 240408 is about 62.1798454843.

The spelling of 240408 in words is "two hundred forty thousand, four hundred eight".