240224420 has 24 divisors (see below), whose sum is σ = 526405824. Its totient is φ = 91911776.

The previous prime is 240224417. The next prime is 240224423. The reversal of 240224420 is 24422042.

It is an interprime number because it is at equal distance from previous prime (240224417) and next prime (240224423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240224392 and 240224401.

It is not an unprimeable number, because it can be changed into a prime (240224423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260654 + ... + 261573.

It is an arithmetic number, because the mean of its divisors is an integer number (21933576).

Almost surely, 2^240224420 is an apocalyptic number.

240224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240224420 is an abundant number, since it is smaller than the sum of its proper divisors (286181404).

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

240224420 is a wasteful number, since it uses less digits than its factorization.

240224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522259 (or 522257 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 240224420 is about 15499.1748167443. The cubic root of 240224420 is about 621.6401422684.

Adding to 240224420 its reverse (24422042), we get a palindrome (264646462).

The spelling of 240224420 in words is "two hundred forty million, two hundred twenty-four thousand, four hundred twenty".