51424400 has 60 divisors (see below), whose sum is σ = 125698800. Its totient is φ = 20211840.

The previous prime is 51424397. The next prime is 51424411. The reversal of 51424400 is 442415.

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

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, 22511 + ... + 24689.

It is an arithmetic number, because the mean of its divisors is an integer number (2094980).

Almost surely, 2^51424400 is an apocalyptic number.

51424400 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 51424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62849400).

51424400 is an abundant number, since it is smaller than the sum of its proper divisors (74274400).

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

51424400 is a wasteful number, since it uses less digits than its factorization.

51424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2245 counting only the distinct ones).

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

The square root of 51424400 is about 7171.0808111470. The cubic root of 51424400 is about 371.8688017704.

Adding to 51424400 its reverse (442415), we get a palindrome (51866815).

The spelling of 51424400 in words is "fifty-one million, four hundred twenty-four thousand, four hundred".