4785408 has 108 divisors (see below), whose sum is σ = 14455168. Its totient is φ = 1520640.

The previous prime is 4785401. The next prime is 4785419. The reversal of 4785408 is 8045874.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71391 + ... + 71457.

Almost surely, 2^4785408 is an apocalyptic number.

4785408 is a gapful number since it is divisible by the number (48) 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 4785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227584).

4785408 is an abundant number, since it is smaller than the sum of its proper divisors (9669760).

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

4785408 is a wasteful number, since it uses less digits than its factorization.

4785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4785408 is about 2187.5575421003. The cubic root of 4785408 is about 168.5154238656.

It can be divided in two parts, 478 and 5408, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 4785408 in words is "four million, seven hundred eighty-five thousand, four hundred eight".