438915840 has 144 divisors (see below), whose sum is σ = 1529369856. Its totient is φ = 106393600.

The previous prime is 438915839. The next prime is 438915853. The reversal of 438915840 is 48519834.

It is a super-2 number, since 2×438915840² = 385294229205811200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438915792 and 438915801.

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, 37045 + ... + 47435.

It is an arithmetic number, because the mean of its divisors is an integer number (10620624).

Almost surely, 2^438915840 is an apocalyptic number.

438915840 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 438915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764684928).

438915840 is an abundant number, since it is smaller than the sum of its proper divisors (1090454016).

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

438915840 is a wasteful number, since it uses less digits than its factorization.

438915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 438915840 is about 20950.3183746692. The cubic root of 438915840 is about 759.9652800390.

The spelling of 438915840 in words is "four hundred thirty-eight million, nine hundred fifteen thousand, eight hundred forty".