50164800 has 168 divisors, whose sum is σ = 188220096. Its totient is φ = 11458560.

The previous prime is 50164787. The next prime is 50164801. The reversal of 50164800 is 846105.

50164800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (50164801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32854 + ... + 34346.

Almost surely, 2^50164800 is an apocalyptic number.

50164800 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 50164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94110048).

50164800 is an abundant number, since it is smaller than the sum of its proper divisors (138055296).

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

50164800 is a wasteful number, since it uses less digits than its factorization.

50164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 50164800 is about 7082.7113452406. The cubic root of 50164800 is about 368.8074582494.

The spelling of 50164800 in words is "fifty million, one hundred sixty-four thousand, eight hundred".