424200240 has 120 divisors (see below), whose sum is σ = 1477436688. Its totient is φ = 113114880.

The previous prime is 424200211. The next prime is 424200241. The reversal of 424200240 is 42002424.

424200240 is a `hidden beast` number, since 4 + 2 + 420 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (424200241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8530 + ... + 30350.

Almost surely, 2^424200240 is an apocalyptic number.

424200240 is a gapful number since it is divisible by the number (40) 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 424200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738718344).

424200240 is an abundant number, since it is smaller than the sum of its proper divisors (1053236448).

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

424200240 is a wasteful number, since it uses less digits than its factorization.

424200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21849 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 424200240 is about 20596.1219650691. The cubic root of 424200240 is about 751.3753961720.

Adding to 424200240 its reverse (42002424), we get a palindrome (466202664).

The spelling of 424200240 in words is "four hundred twenty-four million, two hundred thousand, two hundred forty".