438026940 has 168 divisors, whose sum is σ = 1485885408. Its totient is φ = 107775360.

The previous prime is 438026923. The next prime is 438026959. The reversal of 438026940 is 49620834.

It is a happy number.

It is a super-3 number, since 3×438026940³ (a number of 27 digits) contains 333 as substring.

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 = 438026895 and 438026904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188385 + ... + 190695.

It is an arithmetic number, because the mean of its divisors is an integer number (8844556).

Almost surely, 2^438026940 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 438026940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742942704).

438026940 is an abundant number, since it is smaller than the sum of its proper divisors (1047858468).

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

438026940 is a wasteful number, since it uses less digits than its factorization.

438026940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 438026940 is about 20929.0931480559. The cubic root of 438026940 is about 759.4519016769.

The spelling of 438026940 in words is "four hundred thirty-eight million, twenty-six thousand, nine hundred forty".