50976000 has 288 divisors, whose sum is σ = 191318400. Its totient is φ = 13363200.

The previous prime is 50975999. The next prime is 50976043. The reversal of 50976000 is 67905.

50976000 is a `hidden beast` number, since 50 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863971 + ... + 864029.

It is an arithmetic number, because the mean of its divisors is an integer number (664300).

Almost surely, 2^50976000 is an apocalyptic number.

50976000 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 50976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

50976000 is an abundant number, since it is smaller than the sum of its proper divisors (140342400).

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

50976000 is an equidigital number, since it uses as much as digits as its factorization.

50976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 50976000 is about 7139.7478947089. The cubic root of 50976000 is about 370.7847963519.

The spelling of 50976000 in words is "fifty million, nine hundred seventy-six thousand".