50368000 has 80 divisors (see below), whose sum is σ = 125755344. Its totient is φ = 20121600.

The previous prime is 50367997. The next prime is 50368001. The reversal of 50368000 is 86305.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50368001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63607 + ... + 64393.

Almost surely, 2^50368000 is an apocalyptic number.

50368000 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 50368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62877672).

50368000 is an abundant number, since it is smaller than the sum of its proper divisors (75387344).

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

50368000 is an frugal number, since it uses more digits than its factorization.

50368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 50368000 is about 7097.0416371894. The cubic root of 50368000 is about 369.3047572527.

The spelling of 50368000 in words is "fifty million, three hundred sixty-eight thousand".