51004800 has 576 divisors, whose sum is σ = 236770560. Its totient is φ = 10137600.

The previous prime is 51004787. The next prime is 51004801. The reversal of 51004800 is 840015.

It is a tau number, because it is divible by the number of its divisors (576).

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 (51004801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217589 + ... + 2217611.

It is an arithmetic number, because the mean of its divisors is an integer number (411060).

Almost surely, 2^51004800 is an apocalyptic number.

51004800 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 51004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

51004800 is an abundant number, since it is smaller than the sum of its proper divisors (185765760).

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

51004800 is a wasteful number, since it uses less digits than its factorization.

51004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51004800 is about 7141.7644878559. The cubic root of 51004800 is about 370.8546108511.

Adding to 51004800 its reverse (840015), we get a palindrome (51844815).

The spelling of 51004800 in words is "fifty-one million, four thousand, eight hundred".