438855840 has 384 divisors, whose sum is σ = 1654732800. Its totient is φ = 108380160.

The previous prime is 438855827. The next prime is 438855877. The reversal of 438855840 is 48558834.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883624 + ... + 3883736.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^438855840 is an apocalyptic number.

438855840 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 438855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

438855840 is an abundant number, since it is smaller than the sum of its proper divisors (1215876960).

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

438855840 is a wasteful number, since it uses less digits than its factorization.

438855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 438855840 is about 20948.8863665828. The cubic root of 438855840 is about 759.9306492582.

The spelling of 438855840 in words is "four hundred thirty-eight million, eight hundred fifty-five thousand, eight hundred forty".