438340032 has 336 divisors, whose sum is σ = 1487424000. Its totient is φ = 126157824.

The previous prime is 438340027. The next prime is 438340037. The reversal of 438340032 is 230043834.

It is an interprime number because it is at equal distance from previous prime (438340027) and next prime (438340037).

It is a super-2 number, since 2×438340032² = 384283967307522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 438339978 and 438340005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438340037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5548569 + ... + 5548647.

Almost surely, 2^438340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743712000).

438340032 is an abundant number, since it is smaller than the sum of its proper divisors (1049083968).

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

438340032 is a wasteful number, since it uses less digits than its factorization.

438340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 438340032 is about 20936.5716391199. The cubic root of 438340032 is about 759.6328050740.

Adding to 438340032 its reverse (230043834), we get a palindrome (668383866).

The spelling of 438340032 in words is "four hundred thirty-eight million, three hundred forty thousand, thirty-two".