4775400 has 144 divisors (see below), whose sum is σ = 18376800. Its totient is φ = 1088640.

The previous prime is 4775383. The next prime is 4775413. The reversal of 4775400 is 45774.

4775400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12411 + ... + 12789.

Almost surely, 2^4775400 is an apocalyptic number.

4775400 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 4775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188400).

4775400 is an abundant number, since it is smaller than the sum of its proper divisors (13601400).

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

4775400 is a wasteful number, since it uses less digits than its factorization.

4775400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4775400 is about 2185.2688621769. The cubic root of 4775400 is about 168.3978665313.

The spelling of 4775400 in words is "four million, seven hundred seventy-five thousand, four hundred".