438540984 has 72 divisors (see below), whose sum is σ = 1381638960. Its totient is φ = 125296416.

The previous prime is 438540917. The next prime is 438540989. The reversal of 438540984 is 489045834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×438540984³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438540989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58624 + ... + 65679.

It is an arithmetic number, because the mean of its divisors is an integer number (19189430).

Almost surely, 2^438540984 is an apocalyptic number.

It is an amenable number.

438540984 is an abundant number, since it is smaller than the sum of its proper divisors (943097976).

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

438540984 is a wasteful number, since it uses less digits than its factorization.

438540984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124329 (or 124315 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 438540984 is about 20941.3701557467. The cubic root of 438540984 is about 759.7488690118.

It can be divided in two parts, 4385 and 40984, that added together give a square (45369 = 213²).

The spelling of 438540984 in words is "four hundred thirty-eight million, five hundred forty thousand, nine hundred eighty-four".