438083040 has 96 divisors (see below), whose sum is σ = 1394336160. Its totient is φ = 115617792.

The previous prime is 438083039. The next prime is 438083059. The reversal of 438083040 is 40380834.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 438082989 and 438083007.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 970 × 582 × 776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4516272 + ... + 4516368.

It is an arithmetic number, because the mean of its divisors is an integer number (14524335).

Almost surely, 2^438083040 is an apocalyptic number.

438083040 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 438083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697168080).

438083040 is an abundant number, since it is smaller than the sum of its proper divisors (956253120).

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

438083040 is an frugal number, since it uses more digits than its factorization.

438083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 438083040 is about 20930.4333447733. The cubic root of 438083040 is about 759.4843223868.

The spelling of 438083040 in words is "four hundred thirty-eight million, eighty-three thousand, forty".