50388800 has 168 divisors, whose sum is σ = 154960320. Its totient is φ = 15667200.

The previous prime is 50388787. The next prime is 50388803. The reversal of 50388800 is 888305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50388803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122996 + ... + 123404.

Almost surely, 2^50388800 is an apocalyptic number.

50388800 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 50388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77480160).

50388800 is an abundant number, since it is smaller than the sum of its proper divisors (104571520).

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

50388800 is a wasteful number, since it uses less digits than its factorization.

50388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 50388800 is about 7098.5068852541. The cubic root of 50388800 is about 369.3555863625.

The spelling of 50388800 in words is "fifty million, three hundred eighty-eight thousand, eight hundred".