48412080 has 200 divisors, whose sum is σ = 174286464. Its totient is φ = 12441600.

The previous prime is 48412009. The next prime is 48412087. The reversal of 48412080 is 8021484.

48412080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48412087) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 200760 + ... + 201000.

Almost surely, 2^48412080 is an apocalyptic number.

48412080 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 48412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87143232).

48412080 is an abundant number, since it is smaller than the sum of its proper divisors (125874384).

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

48412080 is a wasteful number, since it uses less digits than its factorization.

48412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48412080 is about 6957.8789871627. The cubic root of 48412080 is about 364.4611552366.

The spelling of 48412080 in words is "forty-eight million, four hundred twelve thousand, eighty".