4776408 has 144 divisors (see below), whose sum is σ = 16532880. Its totient is φ = 1259712.

The previous prime is 4776403. The next prime is 4776451. The reversal of 4776408 is 8046774.

It is a happy number.

4776408 is a `hidden beast` number, since 4 + 7 + 7 + 640 + 8 = 666.

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

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4776403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367410 + ... + 367422.

Almost surely, 2^4776408 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 4776408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266440).

4776408 is an abundant number, since it is smaller than the sum of its proper divisors (11756472).

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

4776408 is an equidigital number, since it uses as much as digits as its factorization.

4776408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4776408 is about 2185.4994852436. The cubic root of 4776408 is about 168.4097142723.

It can be divided in two parts, 4776 and 408, that added together give a square (5184 = 72²).

The spelling of 4776408 in words is "four million, seven hundred seventy-six thousand, four hundred eight".