48481416 has 128 divisors (see below), whose sum is σ = 145238400. Its totient is φ = 15116544.

The previous prime is 48481409. The next prime is 48481453. The reversal of 48481416 is 61418484.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 31 ways as a sum of consecutive naturals, for example, 297351 + ... + 297513.

It is an arithmetic number, because the mean of its divisors is an integer number (1134675).

Almost surely, 2^48481416 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 48481416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72619200).

48481416 is an abundant number, since it is smaller than the sum of its proper divisors (96756984).

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

48481416 is a wasteful number, since it uses less digits than its factorization.

48481416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 48481416 is about 6962.8597573124. The cubic root of 48481416 is about 364.6350665426.

The spelling of 48481416 in words is "forty-eight million, four hundred eighty-one thousand, four hundred sixteen".