51062400 has 240 divisors, whose sum is σ = 189387990. Its totient is φ = 13547520.

The previous prime is 51062399. The next prime is 51062471. The reversal of 51062400 is 426015.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48776256 + 2286144 = 6984^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 259102 + ... + 259298.

Almost surely, 2^51062400 is an apocalyptic number.

51062400 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 51062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94693995).

51062400 is an abundant number, since it is smaller than the sum of its proper divisors (138325590).

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

51062400 is a wasteful number, since it uses less digits than its factorization.

51062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

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

The square root of 51062400 is about 7145.7959668605. The cubic root of 51062400 is about 370.9941610471.

Adding to 51062400 its reverse (426015), we get a palindrome (51488415).

The spelling of 51062400 in words is "fifty-one million, sixty-two thousand, four hundred".