50364000 has 144 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 13420800.

The previous prime is 50363969. The next prime is 50364053. The reversal of 50364000 is 46305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35301 + ... + 36699.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2^50364000 is an apocalyptic number.

50364000 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 50364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

50364000 is an abundant number, since it is smaller than the sum of its proper divisors (128505600).

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

50364000 is a wasteful number, since it uses less digits than its factorization.

50364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 50364000 is about 7096.7598240324. The cubic root of 50364000 is about 369.2949808197.

The spelling of 50364000 in words is "fifty million, three hundred sixty-four thousand".