50384400 has 180 divisors, whose sum is σ = 177915696. Its totient is φ = 12179200.

The previous prime is 50384377. The next prime is 50384429. The reversal of 50384400 is 448305.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145027 + ... + 145373.

Almost surely, 2^50384400 is an apocalyptic number.

50384400 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 50384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957848).

50384400 is an abundant number, since it is smaller than the sum of its proper divisors (127531296).

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

50384400 is a wasteful number, since it uses less digits than its factorization.

50384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 50384400 is about 7098.1969541567. The cubic root of 50384400 is about 369.3448352175.

The spelling of 50384400 in words is "fifty million, three hundred eighty-four thousand, four hundred".