51444400 has 120 divisors (see below), whose sum is σ = 148839680. Its totient is φ = 16692480.

The previous prime is 51444389. The next prime is 51444413. The reversal of 51444400 is 444415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52717 + ... + 53683.

Almost surely, 2^51444400 is an apocalyptic number.

51444400 is a gapful number since it is divisible by the number (50) 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 51444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419840).

51444400 is an abundant number, since it is smaller than the sum of its proper divisors (97395280).

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

51444400 is a wasteful number, since it uses less digits than its factorization.

51444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 51444400 is about 7172.4751655199. The cubic root of 51444400 is about 371.9170046472.

Adding to 51444400 its reverse (444415), we get a palindrome (51888815).

The spelling of 51444400 in words is "fifty-one million, four hundred forty-four thousand, four hundred".