48414000 has 80 divisors (see below), whose sum is σ = 156106080. Its totient is φ = 12908800.

The previous prime is 48413993. The next prime is 48414013. The reversal of 48414000 is 41484.

48414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966 + ... + 10034.

It is an arithmetic number, because the mean of its divisors is an integer number (1951326).

Almost surely, 2^48414000 is an apocalyptic number.

48414000 is a gapful number since it is divisible by the number (40) 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 48414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78053040).

48414000 is an abundant number, since it is smaller than the sum of its proper divisors (107692080).

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

48414000 is a wasteful number, since it uses less digits than its factorization.

48414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 48414000 is about 6958.0169588756. The cubic root of 48414000 is about 364.4659732914.

Adding to 48414000 its reverse (41484), we get a palindrome (48455484).

The spelling of 48414000 in words is "forty-eight million, four hundred fourteen thousand".