51442400 has 36 divisors (see below), whose sum is σ = 125585712. Its totient is φ = 20576640.

The previous prime is 51442387. The next prime is 51442427. The reversal of 51442400 is 424415.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31352 + ... + 32951.

It is an arithmetic number, because the mean of its divisors is an integer number (3488492).

Almost surely, 2^51442400 is an apocalyptic number.

51442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51442400 is an abundant number, since it is smaller than the sum of its proper divisors (74143312).

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

51442400 is a wasteful number, since it uses less digits than its factorization.

51442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64323 (or 64310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 51442400 is about 7172.3357422809. The cubic root of 51442400 is about 371.9121849218.

Adding to 51442400 its reverse (424415), we get a palindrome (51866815).

The spelling of 51442400 in words is "fifty-one million, four hundred forty-two thousand, four hundred".