803442400 has 36 divisors (see below), whose sum is σ = 1961405712. Its totient is φ = 321376640.

The previous prime is 803442337. The next prime is 803442421. The reversal of 803442400 is 4244308.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 501352 + ... + 502951.

It is an arithmetic number, because the mean of its divisors is an integer number (54483492).

Almost surely, 2^803442400 is an apocalyptic number.

803442400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803442400 is an abundant number, since it is smaller than the sum of its proper divisors (1157963312).

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

803442400 is a wasteful number, since it uses less digits than its factorization.

803442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004323 (or 1004310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 803442400 is about 28345.0595342469. The cubic root of 803442400 is about 929.6473785524.

Adding to 803442400 its reverse (4244308), we get a palindrome (807686708).

The spelling of 803442400 in words is "eight hundred three million, four hundred forty-two thousand, four hundred".