4792956480 has 336 divisors, whose sum is σ = 17854178160. Its totient is φ = 1173159936.

The previous prime is 4792956449. The next prime is 4792956481. The reversal of 4792956480 is 846592974.

4792956480 is a `hidden beast` number, since 4 + 79 + 2 + 9 + 564 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 643535424 + 4149421056 = 25368^2 + 64416^2 .

It is not an unprimeable number, because it can be changed into a prime (4792956481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11718516 + ... + 11718924.

It is an arithmetic number, because the mean of its divisors is an integer number (53137435).

Almost surely, 2^4792956480 is an apocalyptic number.

4792956480 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 4792956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927089080).

4792956480 is an abundant number, since it is smaller than the sum of its proper divisors (13061221680).

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

4792956480 is a wasteful number, since it uses less digits than its factorization.

4792956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4792956480 is about 69231.1814141576. The cubic root of 4792956480 is about 1686.0398246272.

The spelling of 4792956480 in words is "four billion, seven hundred ninety-two million, nine hundred fifty-six thousand, four hundred eighty".