51230400 has 168 divisors, whose sum is σ = 181227984. Its totient is φ = 12595200.

The previous prime is 51230393. The next prime is 51230419. The reversal of 51230400 is 403215.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51230400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61990 + ... + 62810.

It is an arithmetic number, because the mean of its divisors is an integer number (1078738).

Almost surely, 2^51230400 is an apocalyptic number.

51230400 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 51230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90613992).

51230400 is an abundant number, since it is smaller than the sum of its proper divisors (129997584).

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

51230400 is a wasteful number, since it uses less digits than its factorization.

51230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 51230400 is about 7157.5414773510. The cubic root of 51230400 is about 371.4005839718.

Adding to 51230400 its reverse (403215), we get a palindrome (51633615).

The spelling of 51230400 in words is "fifty-one million, two hundred thirty thousand, four hundred".