424132240 has 120 divisors (see below), whose sum is σ = 1154303352. Its totient is φ = 144506880.

The previous prime is 424132237. The next prime is 424132243. The reversal of 424132240 is 42231424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424132237) and next prime (424132243).

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 388562944 = 5964^2 + 19712^2 .

It is not an unprimeable number, because it can be changed into a prime (424132243) 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, 1007230 + ... + 1007650.

Almost surely, 2^424132240 is an apocalyptic number.

424132240 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 424132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577151676).

424132240 is an abundant number, since it is smaller than the sum of its proper divisors (730171112).

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

424132240 is a wasteful number, since it uses less digits than its factorization.

424132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 424132240 is about 20594.4711027013. The cubic root of 424132240 is about 751.3352451203.

Adding to 424132240 its reverse (42231424), we get a palindrome (466363664).

It can be divided in two parts, 4241 and 32240, that added together give a square (36481 = 191²).

The spelling of 424132240 in words is "four hundred twenty-four million, one hundred thirty-two thousand, two hundred forty".