50846400 has 336 divisors, whose sum is σ = 204094080. Its totient is φ = 12211200.

The previous prime is 50846387. The next prime is 50846423. The reversal of 50846400 is 464805.

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 47 ways as a sum of consecutive naturals, for example, 475147 + ... + 475253.

Almost surely, 2^50846400 is an apocalyptic number.

50846400 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 50846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047040).

50846400 is an abundant number, since it is smaller than the sum of its proper divisors (153247680).

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

50846400 is a wasteful number, since it uses less digits than its factorization.

50846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 50846400 is about 7130.6661680379. Note that the first 3 decimals coincide. The cubic root of 50846400 is about 370.4703052796.

The spelling of 50846400 in words is "fifty million, eight hundred forty-six thousand, four hundred".