1838440 has 64 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 668160.

The previous prime is 1838429. The next prime is 1838453. The reversal of 1838440 is 448381.

It is a junction number, because it is equal to n+sod(n) for n = 1838399 and 1838408.

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, 31131 + ... + 31189.

It is an arithmetic number, because the mean of its divisors is an integer number (70875).

2^1838440 is an apocalyptic number.

1838440 is a gapful number since it is divisible by the number (10) 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 1838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1838440 is an abundant number, since it is smaller than the sum of its proper divisors (2697560).

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

1838440 is a wasteful number, since it uses less digits than its factorization.

1838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1838440 is about 1355.8908510643. The cubic root of 1838440 is about 122.5038732636.

It can be divided in two parts, 1838 and 440, that added together give a triangular number (2278 = T₆₇).

The spelling of 1838440 in words is "one million, eight hundred thirty-eight thousand, four hundred forty".