4949362600 has 288 divisors, whose sum is σ = 14707730520. Its totient is φ = 1534740480.

The previous prime is 4949362591. The next prime is 4949362603. The reversal of 4949362600 is 62639494.

It can be written as a sum of positive squares in 12 ways, for example, as 1090716676 + 3858645924 = 33026^2 + 62118^2 .

It is not an unprimeable number, because it can be changed into a prime (4949362603) 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 71 ways as a sum of consecutive naturals, for example, 6751834 + ... + 6752566.

Almost surely, 2^4949362600 is an apocalyptic number.

4949362600 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 4949362600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353865260).

4949362600 is an abundant number, since it is smaller than the sum of its proper divisors (9758367920).

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

4949362600 is a wasteful number, since it uses less digits than its factorization.

4949362600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 4949362600 is about 70351.7064469654. The cubic root of 4949362600 is about 1704.1837666506.

The spelling of 4949362600 in words is "four billion, nine hundred forty-nine million, three hundred sixty-two thousand, six hundred".