4975891600 has 45 divisors (see below), whose sum is σ = 11957969977. Its totient is φ = 1989792320.

The previous prime is 4975891549. The next prime is 4975891603. The reversal of 4975891600 is 61985794.

The square root of 4975891600 is 70540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1791320976 + 3184570624 = 42324^2 + 56432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4975891603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1409037 + ... + 1412563.

Almost surely, 2^4975891600 is an apocalyptic number.

4975891600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4975891600 is the 70540-th square number.

It is an amenable number.

4975891600 is an abundant number, since it is smaller than the sum of its proper divisors (6982078377).

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

4975891600 is an frugal number, since it uses more digits than its factorization.

4975891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The cubic root of 4975891600 is about 1707.2231986939.

Multiplying 4975891600 by its sum of digits (49), we get a square (243818688400 = 493780²).

The spelling of 4975891600 in words is "four billion, nine hundred seventy-five million, eight hundred ninety-one thousand, six hundred".