438729984 has 216 divisors, whose sum is σ = 1577739072. Its totient is φ = 113909760.

The previous prime is 438729983. The next prime is 438729997. The reversal of 438729984 is 489927834.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 438729984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438729983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176172 + ... + 178644.

Almost surely, 2^438729984 is an apocalyptic number.

438729984 is a gapful number since it is divisible by the number (44) 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 438729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788869536).

438729984 is an abundant number, since it is smaller than the sum of its proper divisors (1139009088).

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

438729984 is a wasteful number, since it uses less digits than its factorization.

438729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2496 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 438729984 is about 20945.8822683601. The cubic root of 438729984 is about 759.8579974765.

The spelling of 438729984 in words is "four hundred thirty-eight million, seven hundred twenty-nine thousand, nine hundred eighty-four".