4892477520 has 480 divisors, whose sum is σ = 18452568960. Its totient is φ = 1068318720.

The previous prime is 4892477497. The next prime is 4892477531. The reversal of 4892477520 is 257742984.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4892477520.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35197611 + ... + 35197749.

It is an arithmetic number, because the mean of its divisors is an integer number (38442852).

Almost surely, 2^4892477520 is an apocalyptic number.

4892477520 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 4892477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226284480).

4892477520 is an abundant number, since it is smaller than the sum of its proper divisors (13560091440).

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

4892477520 is a wasteful number, since it uses less digits than its factorization.

4892477520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 4892477520 is about 69946.2473618135. The cubic root of 4892477520 is about 1697.6296283903.

The spelling of 4892477520 in words is "four billion, eight hundred ninety-two million, four hundred seventy-seven thousand, five hundred twenty".