50932800 has 252 divisors, whose sum is σ = 189164976. Its totient is φ = 13478400.

The previous prime is 50932759. The next prime is 50932813. The reversal of 50932800 is 823905.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388735 + ... + 388865.

Almost surely, 2^50932800 is an apocalyptic number.

50932800 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 50932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94582488).

50932800 is an abundant number, since it is smaller than the sum of its proper divisors (138232176).

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

50932800 is a wasteful number, since it uses less digits than its factorization.

50932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 50932800 is about 7136.7219365756. The cubic root of 50932800 is about 370.6800252821.

The spelling of 50932800 in words is "fifty million, nine hundred thirty-two thousand, eight hundred".