48382416 has 60 divisors (see below), whose sum is σ = 135941572. Its totient is φ = 16063488.

The previous prime is 48382403. The next prime is 48382427. The reversal of 48382416 is 61428384.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 20250000 = 5304^2 + 4500^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48030 + ... + 49026.

Almost surely, 2^48382416 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 48382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970786).

48382416 is an abundant number, since it is smaller than the sum of its proper divisors (87559156).

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

48382416 is a wasteful number, since it uses less digits than its factorization.

48382416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48382416 is about 6955.7469764217. The cubic root of 48382416 is about 364.3867000961.

The spelling of 48382416 in words is "forty-eight million, three hundred eighty-two thousand, four hundred sixteen".