1948801600 has 84 divisors (see below), whose sum is σ = 4812793524. Its totient is φ = 776673280.

The previous prime is 1948801567. The next prime is 1948801601. The reversal of 1948801600 is 61088491.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24049216 + 1924752384 = 4904^2 + 43872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1948801600.

It is not an unprimeable number, because it can be changed into a prime (1948801601) 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 11 ways as a sum of consecutive naturals, for example, 466722 + ... + 470878.

It is an arithmetic number, because the mean of its divisors is an integer number (57295161).

Almost surely, 2^1948801600 is an apocalyptic number.

1948801600 is a gapful number since it is divisible by the number (10) 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 1948801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406396762).

1948801600 is an abundant number, since it is smaller than the sum of its proper divisors (2863991924).

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

1948801600 is a wasteful number, since it uses less digits than its factorization.

1948801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 1948801600 is about 44145.2330382342. The cubic root of 1948801600 is about 1249.0769932813.

The spelling of 1948801600 in words is "one billion, nine hundred forty-eight million, eight hundred one thousand, six hundred".