50456800 has 72 divisors (see below), whose sum is σ = 125382600. Its totient is φ = 19822080.

The previous prime is 50456767. The next prime is 50456807. The reversal of 50456800 is 865405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50456807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46666 + ... + 47734.

It is an arithmetic number, because the mean of its divisors is an integer number (1741425).

Almost surely, 2^50456800 is an apocalyptic number.

50456800 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 50456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62691300).

50456800 is an abundant number, since it is smaller than the sum of its proper divisors (74925800).

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

50456800 is a wasteful number, since it uses less digits than its factorization.

50456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 50456800 is about 7103.2950100640. The cubic root of 50456800 is about 369.5216609015.

The spelling of 50456800 in words is "fifty million, four hundred fifty-six thousand, eight hundred".