1838980400 has 60 divisors (see below), whose sum is σ = 4432393392. Its totient is φ = 733221120.

The previous prime is 1838980399. The next prime is 1838980411. The reversal of 1838980400 is 40898381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119549 + ... + 134051.

Almost surely, 2^1838980400 is an apocalyptic number.

1838980400 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 1838980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216196696).

1838980400 is an abundant number, since it is smaller than the sum of its proper divisors (2593412992).

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

1838980400 is a wasteful number, since it uses less digits than its factorization.

1838980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 1838980400 is about 42883.3347583884. The cubic root of 1838980400 is about 1225.1587521594.

It can be divided in two parts, 18389 and 80400, that added together give a palindrome (98789).

The spelling of 1838980400 in words is "one billion, eight hundred thirty-eight million, nine hundred eighty thousand, four hundred".