4882416 has 80 divisors (see below), whose sum is σ = 15737088. Its totient is φ = 1267200.

The previous prime is 4882399. The next prime is 4882421. The reversal of 4882416 is 6142884.

4882416 = T₂₁₃ + T₂₁₄ + ... + T₃₃₈.

4882416 = 375² + 376² + ... + 406².

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 3036 + ... + 4356.

Almost surely, 2^4882416 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 4882416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868544).

4882416 is an abundant number, since it is smaller than the sum of its proper divisors (10854672).

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

4882416 is a wasteful number, since it uses less digits than its factorization.

4882416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4882416 is about 2209.6189716781. The cubic root of 4882416 is about 169.6465088421.

The spelling of 4882416 in words is "four million, eight hundred eighty-two thousand, four hundred sixteen".