50774400 has 288 divisors, whose sum is σ = 189909720. Its totient is φ = 12902400.

The previous prime is 50774369. The next prime is 50774401. The reversal of 50774400 is 447705.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50774401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180779 + ... + 1180821.

Almost surely, 2^50774400 is an apocalyptic number.

50774400 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 50774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954860).

50774400 is an abundant number, since it is smaller than the sum of its proper divisors (139135320).

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

50774400 is a wasteful number, since it uses less digits than its factorization.

50774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 50774400 is about 7125.6157628657. The cubic root of 50774400 is about 370.2953570550.

The spelling of 50774400 in words is "fifty million, seven hundred seventy-four thousand, four hundred".