51433200 has 360 divisors, whose sum is σ = 221076128. Its totient is φ = 10782720.

The previous prime is 51433169. The next prime is 51433231. The reversal of 51433200 is 233415.

It is an interprime number because it is at equal distance from previous prime (51433169) and next prime (51433231).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 327522 + ... + 327678.

Almost surely, 2^51433200 is an apocalyptic number.

51433200 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 51433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110538064).

51433200 is an abundant number, since it is smaller than the sum of its proper divisors (169642928).

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

51433200 is a wasteful number, since it uses less digits than its factorization.

51433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 51433200 is about 7171.6943604702. The cubic root of 51433200 is about 371.8900125757.

Adding to 51433200 its reverse (233415), we get a palindrome (51666615).

The spelling of 51433200 in words is "fifty-one million, four hundred thirty-three thousand, two hundred".