240414240 has 96 divisors (see below), whose sum is σ = 826168896. Its totient is φ = 58280960.

The previous prime is 240414233. The next prime is 240414241. The reversal of 240414240 is 42414042.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (240414241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17487 + ... + 28046.

It is an arithmetic number, because the mean of its divisors is an integer number (8605926).

Almost surely, 2^240414240 is an apocalyptic number.

240414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240414240 is an abundant number, since it is smaller than the sum of its proper divisors (585754656).

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

240414240 is a wasteful number, since it uses less digits than its factorization.

240414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45562 (or 45554 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 240414240 is about 15505.2971593582. The cubic root of 240414240 is about 621.8038345708.

Adding to 240414240 its reverse (42414042), we get a palindrome (282828282).

The spelling of 240414240 in words is "two hundred forty million, four hundred fourteen thousand, two hundred forty".