51350400 has 144 divisors (see below), whose sum is σ = 183332760. Its totient is φ = 13685760.

The previous prime is 51350393. The next prime is 51350401. The reversal of 51350400 is 405315.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51350401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 27909 + ... + 29691.

Almost surely, 2^51350400 is an apocalyptic number.

51350400 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 51350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91666380).

51350400 is an abundant number, since it is smaller than the sum of its proper divisors (131982360).

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

51350400 is a wasteful number, since it uses less digits than its factorization.

51350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51350400 is about 7165.9193408801. The cubic root of 51350400 is about 371.6903423779.

Adding to 51350400 its reverse (405315), we get a palindrome (51755715).

The spelling of 51350400 in words is "fifty-one million, three hundred fifty thousand, four hundred".