48414912 has 224 divisors, whose sum is σ = 167956992. Its totient is φ = 11943936.

The previous prime is 48414911. The next prime is 48414923. The reversal of 48414912 is 21941484.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (48414911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296943 + ... + 297105.

It is an arithmetic number, because the mean of its divisors is an integer number (749808).

Almost surely, 2^48414912 is an apocalyptic number.

48414912 is a gapful number since it is divisible by the number (42) 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 48414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83978496).

48414912 is an abundant number, since it is smaller than the sum of its proper divisors (119542080).

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

48414912 is a wasteful number, since it uses less digits than its factorization.

48414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 48414912 is about 6958.0824944808. The cubic root of 48414912 is about 364.4682618228.

The spelling of 48414912 in words is "forty-eight million, four hundred fourteen thousand, nine hundred twelve".