51489200 has 180 divisors, whose sum is σ = 149869872. Its totient is φ = 16934400.

The previous prime is 51489199. The next prime is 51489223. The reversal of 51489200 is 298415.

It is a super-2 number, since 2×51489200² = 5302275433280000, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 725165 + ... + 725235.

Almost surely, 2^51489200 is an apocalyptic number.

51489200 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 51489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934936).

51489200 is an abundant number, since it is smaller than the sum of its proper divisors (98380672).

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

51489200 is a wasteful number, since it uses less digits than its factorization.

51489200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 51489200 is about 7175.5975360941. The cubic root of 51489200 is about 372.0249337741.

The spelling of 51489200 in words is "fifty-one million, four hundred eighty-nine thousand, two hundred".