51277200 has 240 divisors, whose sum is σ = 187279680. Its totient is φ = 11888640.

The previous prime is 51277157. The next prime is 51277201. The reversal of 51277200 is 277215.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51277201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296314 + ... + 296486.

It is an arithmetic number, because the mean of its divisors is an integer number (780332).

Almost surely, 2^51277200 is an apocalyptic number.

51277200 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 51277200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93639840).

51277200 is an abundant number, since it is smaller than the sum of its proper divisors (136002480).

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

51277200 is a wasteful number, since it uses less digits than its factorization.

51277200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 51277200 is about 7160.8100100477. The cubic root of 51277200 is about 371.5136435172.

The spelling of 51277200 in words is "fifty-one million, two hundred seventy-seven thousand, two hundred".