803948544 has 384 divisors, whose sum is σ = 2851430400. Its totient is φ = 218972160.

The previous prime is 803948533. The next prime is 803948567. The reversal of 803948544 is 445849308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×803948544² = 1292666522799439872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 803948544.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11999199 + ... + 11999265.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^803948544 is an apocalyptic number.

803948544 is a gapful number since it is divisible by the number (84) 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 803948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425715200).

803948544 is an abundant number, since it is smaller than the sum of its proper divisors (2047481856).

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

803948544 is a wasteful number, since it uses less digits than its factorization.

803948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 803948544 is about 28353.9863863972. The cubic root of 803948544 is about 929.8425539916.

The spelling of 803948544 in words is "eight hundred three million, nine hundred forty-eight thousand, five hundred forty-four".