51366400 has 60 divisors (see below), whose sum is σ = 127295982. Its totient is φ = 20541440.

The previous prime is 51366379. The next prime is 51366433. The reversal of 51366400 is 466315.

It can be written as a sum of positive squares in 3 ways, for example, as 45373696 + 5992704 = 6736^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10794 + ... + 14806.

Almost surely, 2^51366400 is an apocalyptic number.

51366400 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 51366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63647991).

51366400 is an abundant number, since it is smaller than the sum of its proper divisors (75929582).

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

51366400 is an equidigital number, since it uses as much as digits as its factorization.

51366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 51366400 is about 7167.0356494160. The cubic root of 51366400 is about 371.7289427128.

The spelling of 51366400 in words is "fifty-one million, three hundred sixty-six thousand, four hundred".