50282400 has 288 divisors, whose sum is σ = 194237568. Its totient is φ = 11059200.

The previous prime is 50282399. The next prime is 50282411. The reversal of 50282400 is 428205.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688764 + ... + 688836.

It is an arithmetic number, because the mean of its divisors is an integer number (674436).

Almost surely, 2^50282400 is an apocalyptic number.

50282400 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 50282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97118784).

50282400 is an abundant number, since it is smaller than the sum of its proper divisors (143955168).

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

50282400 is a wasteful number, since it uses less digits than its factorization.

50282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 50282400 is about 7091.0083909131. The cubic root of 50282400 is about 369.0954284955.

The spelling of 50282400 in words is "fifty million, two hundred eighty-two thousand, four hundred".