48413824 has 64 divisors (see below), whose sum is σ = 107589600. Its totient is φ = 21565440.

The previous prime is 48413821. The next prime is 48413831. The reversal of 48413824 is 42831484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 48413824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48413821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40759 + ... + 41929.

Almost surely, 2^48413824 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 48413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53794800).

48413824 is an abundant number, since it is smaller than the sum of its proper divisors (59175776).

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

48413824 is a wasteful number, since it uses less digits than its factorization.

48413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 48413824 is about 6958.0043115825. The cubic root of 48413824 is about 364.4655316417.

The spelling of 48413824 in words is "forty-eight million, four hundred thirteen thousand, eight hundred twenty-four".