51160400 has 60 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 20192640.

The previous prime is 51160391. The next prime is 51160427. The reversal of 51160400 is 406115.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30791 + ... + 32409.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^51160400 is an apocalyptic number.

51160400 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 51160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

51160400 is an abundant number, since it is smaller than the sum of its proper divisors (73385200).

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

51160400 is a wasteful number, since it uses less digits than its factorization.

51160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51160400 is about 7152.6498586188. The cubic root of 51160400 is about 371.2313492276.

Adding to 51160400 its reverse (406115), we get a palindrome (51566515).

The spelling of 51160400 in words is "fifty-one million, one hundred sixty thousand, four hundred".