438428960 has 96 divisors (see below), whose sum is σ = 1089774000. Its totient is φ = 166440960.

The previous prime is 438428951. The next prime is 438428987. The reversal of 438428960 is 69824834.

It can be written as a sum of positive squares in 8 ways, for example, as 49392784 + 389036176 = 7028^2 + 19724^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282266 + ... + 283814.

Almost surely, 2^438428960 is an apocalyptic number.

438428960 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 438428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544887000).

438428960 is an abundant number, since it is smaller than the sum of its proper divisors (651345040).

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

438428960 is a wasteful number, since it uses less digits than its factorization.

438428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 438428960 is about 20938.6952793148. The cubic root of 438428960 is about 759.6841716338.

The spelling of 438428960 in words is "four hundred thirty-eight million, four hundred twenty-eight thousand, nine hundred sixty".