50448384 has 288 divisors, whose sum is σ = 183980160. Its totient is φ = 12976128.

The previous prime is 50448347. The next prime is 50448443. The reversal of 50448384 is 48384405.

50448384 = T₃₉₁ + T₃₉₂ + ... + T₇₁₂.

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

It is a super-2 number, since 2×50448384² = 5090078896422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2193397 + ... + 2193419.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^50448384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

50448384 is an abundant number, since it is smaller than the sum of its proper divisors (133531776).

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

50448384 is a wasteful number, since it uses less digits than its factorization.

50448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 50448384 is about 7102.7025842281. The cubic root of 50448384 is about 369.5011148289.

The spelling of 50448384 in words is "fifty million, four hundred forty-eight thousand, three hundred eighty-four".