51154400 has 72 divisors (see below), whose sum is σ = 136256904. Its totient is φ = 18598400.

The previous prime is 51154349. The next prime is 51154409. The reversal of 51154400 is 445115.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51154409) 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 11 ways as a sum of consecutive naturals, for example, 5894 + ... + 11706.

It is an arithmetic number, because the mean of its divisors is an integer number (1892457).

Almost surely, 2^51154400 is an apocalyptic number.

51154400 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 51154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68128452).

51154400 is an abundant number, since it is smaller than the sum of its proper divisors (85102504).

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

51154400 is a wasteful number, since it uses less digits than its factorization.

51154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 51154400 is about 7152.2304213441. The cubic root of 51154400 is about 371.2168362112.

Adding to 51154400 its reverse (445115), we get a palindrome (51599515).

It can be divided in two parts, 51 and 154400, that added together give a palindrome (154451).

The spelling of 51154400 in words is "fifty-one million, one hundred fifty-four thousand, four hundred".