51206400 has 324 divisors, whose sum is σ = 210875392. Its totient is φ = 11612160.

The previous prime is 51206377. The next prime is 51206413. The reversal of 51206400 is 460215.

It is a happy number.

51206400 is a `hidden beast` number, since 5 + 1 + 20 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403137 + ... + 403263.

Almost surely, 2^51206400 is an apocalyptic number.

51206400 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 51206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105437696).

51206400 is an abundant number, since it is smaller than the sum of its proper divisors (159668992).

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

51206400 is a wasteful number, since it uses less digits than its factorization.

51206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51206400 is about 7155.8647276203. The cubic root of 51206400 is about 371.3425780072.

Adding to 51206400 its reverse (460215), we get a palindrome (51666615).

It can be divided in two parts, 5120 and 6400, that multiplied together give a cube (32768000 = 320³).

The spelling of 51206400 in words is "fifty-one million, two hundred six thousand, four hundred".