1841225400 has 288 divisors, whose sum is σ = 7439702400. Its totient is φ = 398649600.

The previous prime is 1841225389. The next prime is 1841225401. The reversal of 1841225400 is 45221481.

It is a super-2 number, since 2×1841225400² = 6780221947210320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1841225401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235555 + ... + 243245.

It is an arithmetic number, because the mean of its divisors is an integer number (25832300).

Almost surely, 2^1841225400 is an apocalyptic number.

1841225400 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 1841225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719851200).

1841225400 is an abundant number, since it is smaller than the sum of its proper divisors (5598477000).

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

1841225400 is a wasteful number, since it uses less digits than its factorization.

1841225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1841225400 is about 42909.5024440974. The cubic root of 1841225400 is about 1225.6571013005.

Adding to 1841225400 its reverse (45221481), we get a palindrome (1886446881).

The spelling of 1841225400 in words is "one billion, eight hundred forty-one million, two hundred twenty-five thousand, four hundred".