4777292448 has 216 divisors, whose sum is σ = 14414344308. Its totient is φ = 1499904000.

The previous prime is 4777292447. The next prime is 4777292453. The reversal of 4777292448 is 8442927774.

4777292448 is a `hidden beast` number, since 47 + 7 + 72 + 92 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3072263184 + 1705029264 = 55428^2 + 41292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4777292394 and 4777292403.

It is not an unprimeable number, because it can be changed into a prime (4777292447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11347278 + ... + 11347698.

Almost surely, 2^4777292448 is an apocalyptic number.

4777292448 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 4777292448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207172154).

4777292448 is an abundant number, since it is smaller than the sum of its proper divisors (9637051860).

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

4777292448 is a wasteful number, since it uses less digits than its factorization.

4777292448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 498 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 4777292448 is about 69117.9603865739. The cubic root of 4777292448 is about 1684.2010844597.

The spelling of 4777292448 in words is "four billion, seven hundred seventy-seven million, two hundred ninety-two thousand, four hundred forty-eight".