438537240 has 160 divisors (see below), whose sum is σ = 1482695280. Its totient is φ = 116733312.

The previous prime is 438537227. The next prime is 438537241. The reversal of 438537240 is 42735834.

It is a happy number.

438537240 is a `hidden beast` number, since 4 + 385 + 37 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 438537195 and 438537204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438537241) 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 39 ways as a sum of consecutive naturals, for example, 787042 + ... + 787598.

Almost surely, 2^438537240 is an apocalyptic number.

438537240 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 438537240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741347640).

438537240 is an abundant number, since it is smaller than the sum of its proper divisors (1044158040).

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

438537240 is an frugal number, since it uses more digits than its factorization.

438537240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 438537240 is about 20941.2807631243. The cubic root of 438537240 is about 759.7467069122.

The spelling of 438537240 in words is "four hundred thirty-eight million, five hundred thirty-seven thousand, two hundred forty".