4874863392 has 288 divisors, whose sum is σ = 16702459200. Its totient is φ = 1379137536.

The previous prime is 4874863391. The next prime is 4874863393. The reversal of 4874863392 is 2933684784.

4874863392 is a `hidden beast` number, since 48 + 7 + 486 + 33 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (4874863391) and next prime (4874863393).

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

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4874863391) 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, 4783459 + ... + 4784477.

It is an arithmetic number, because the mean of its divisors is an integer number (57994650).

Almost surely, 2^4874863392 is an apocalyptic number.

4874863392 is a gapful number since it is divisible by the number (42) 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 4874863392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351229600).

4874863392 is an abundant number, since it is smaller than the sum of its proper divisors (11827595808).

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

4874863392 is a wasteful number, since it uses less digits than its factorization.

4874863392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1144 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 4874863392 is about 69820.2219417842. The cubic root of 4874863392 is about 1695.5898831843.

The spelling of 4874863392 in words is "four billion, eight hundred seventy-four million, eight hundred sixty-three thousand, three hundred ninety-two".