51451200 has 210 divisors, whose sum is σ = 189598046. Its totient is φ = 13685760.

The previous prime is 51451159. The next prime is 51451217. The reversal of 51451200 is 215415.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 45805824 = 2376^2 + 6768^2 .

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 29 ways as a sum of consecutive naturals, for example, 129402 + ... + 129798.

Almost surely, 2^51451200 is an apocalyptic number.

51451200 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 51451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94799023).

51451200 is an abundant number, since it is smaller than the sum of its proper divisors (138146846).

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

51451200 is a wasteful number, since it uses less digits than its factorization.

51451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 51451200 is about 7172.9491842617. The cubic root of 51451200 is about 371.9333907794.

Adding to 51451200 its reverse (215415), we get a palindrome (51666615).

The spelling of 51451200 in words is "fifty-one million, four hundred fifty-one thousand, two hundred".