1948772304 has 80 divisors (see below), whose sum is σ = 5606506240. Its totient is φ = 648103680.

The previous prime is 1948772299. The next prime is 1948772311. The reversal of 1948772304 is 4032778491.

It is a self number, because there is not a number n which added to its sum of digits gives 1948772304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192489 + ... + 202359.

It is an arithmetic number, because the mean of its divisors is an integer number (70081328).

Almost surely, 2^1948772304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948772304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803253120).

1948772304 is an abundant number, since it is smaller than the sum of its proper divisors (3657733936).

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

1948772304 is a wasteful number, since it uses less digits than its factorization.

1948772304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1948772304 is about 44144.9012231311. The cubic root of 1948772304 is about 1249.0707341966.

The spelling of 1948772304 in words is "one billion, nine hundred forty-eight million, seven hundred seventy-two thousand, three hundred four".