4770920448 has 288 divisors, whose sum is σ = 15944947200. Its totient is φ = 1346125824.

The previous prime is 4770920447. The next prime is 4770920449. The reversal of 4770920448 is 8440290774.

It is an interprime number because it is at equal distance from previous prime (4770920447) and next prime (4770920449).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4770920448² = 45523363842289041408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4770920447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13289293 + ... + 13289651.

It is an arithmetic number, because the mean of its divisors is an integer number (55364400).

Almost surely, 2^4770920448 is an apocalyptic number.

4770920448 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 4770920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972473600).

4770920448 is an abundant number, since it is smaller than the sum of its proper divisors (11174026752).

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

4770920448 is a wasteful number, since it uses less digits than its factorization.

4770920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4770920448 is about 69071.8498955978. The cubic root of 4770920448 is about 1683.4519499288.

The spelling of 4770920448 in words is "four billion, seven hundred seventy million, nine hundred twenty thousand, four hundred forty-eight".