52774400 has 240 divisors, whose sum is σ = 162370560. Its totient is φ = 16588800.

The previous prime is 52774387. The next prime is 52774417. The reversal of 52774400 is 447725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702385 + ... + 1702415.

It is an arithmetic number, because the mean of its divisors is an integer number (676544).

Almost surely, 2^52774400 is an apocalyptic number.

52774400 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 52774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185280).

52774400 is an abundant number, since it is smaller than the sum of its proper divisors (109596160).

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

52774400 is a wasteful number, since it uses less digits than its factorization.

52774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 52774400 is about 7264.5990942378. The cubic root of 52774400 is about 375.0948500813.

The spelling of 52774400 in words is "fifty-two million, seven hundred seventy-four thousand, four hundred".