4477379328 has 180 divisors, whose sum is σ = 13417821648. Its totient is φ = 1484974080.

The previous prime is 4477379303. The next prime is 4477379329. The reversal of 4477379328 is 8239737744.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4477379329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5453158 + ... + 5453978.

Almost surely, 2^4477379328 is an apocalyptic number.

4477379328 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 4477379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708910824).

4477379328 is an abundant number, since it is smaller than the sum of its proper divisors (8940442320).

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

4477379328 is an equidigital number, since it uses as much as digits as its factorization.

4477379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1089 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 4477379328 is about 66913.2223704702. Note that the first 3 decimals coincide. The cubic root of 4477379328 is about 1648.1926126712.

The spelling of 4477379328 in words is "four billion, four hundred seventy-seven million, three hundred seventy-nine thousand, three hundred twenty-eight".