5448588600 has 384 divisors, whose sum is σ = 21088650240. Its totient is φ = 1133015040.

The previous prime is 5448588589. The next prime is 5448588617. The reversal of 5448588600 is 68858445.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5448588600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3985117 + ... + 3986483.

It is an arithmetic number, because the mean of its divisors is an integer number (54918360).

Almost surely, 2^5448588600 is an apocalyptic number.

5448588600 is a gapful number since it is divisible by the number (50) 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 5448588600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544325120).

5448588600 is an abundant number, since it is smaller than the sum of its proper divisors (15640061640).

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

5448588600 is a wasteful number, since it uses less digits than its factorization.

5448588600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 5448588600 is about 73814.5554751907. Note that the first 3 decimals coincide. The cubic root of 5448588600 is about 1759.6569364049.

The spelling of 5448588600 in words is "five billion, four hundred forty-eight million, five hundred eighty-eight thousand, six hundred".