49368384 has 168 divisors, whose sum is σ = 160873440. Its totient is φ = 14349312.

The previous prime is 49368349. The next prime is 49368401. The reversal of 49368384 is 48386394.

49368384 is a `hidden beast` number, since 493 + 6 + 83 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (497664) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142099 + ... + 142445.

It is an arithmetic number, because the mean of its divisors is an integer number (957580).

Almost surely, 2^49368384 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 49368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80436720).

49368384 is an abundant number, since it is smaller than the sum of its proper divisors (111505056).

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

49368384 is a wasteful number, since it uses less digits than its factorization.

49368384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 49368384 is about 7026.2638720731. The cubic root of 49368384 is about 366.8453094603.

The spelling of 49368384 in words is "forty-nine million, three hundred sixty-eight thousand, three hundred eighty-four".