803628461 has 8 divisors (see below), whose sum is σ = 806944248. Its totient is φ = 800320000.

The previous prime is 803628451. The next prime is 803628467. The reversal of 803628461 is 164826308.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112254025 + 691374436 = 10595^2 + 26294^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 803628461 - 2¹⁰ = 803627437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803628467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328001 + ... + 330441.

It is an arithmetic number, because the mean of its divisors is an integer number (100868031).

Almost surely, 2^803628461 is an apocalyptic number.

It is an amenable number.

803628461 is a deficient number, since it is larger than the sum of its proper divisors (3315787).

803628461 is a wasteful number, since it uses less digits than its factorization.

803628461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663.

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 803628461 is about 28348.3414153280. The cubic root of 803628461 is about 929.7191355199.

The spelling of 803628461 in words is "eight hundred three million, six hundred twenty-eight thousand, four hundred sixty-one".