802468953 has 36 divisors (see below), whose sum is σ = 1369276272. Its totient is φ = 448924320.

The previous prime is 802468951. The next prime is 802468957. The reversal of 802468953 is 359864208.

It is not a de Polignac number, because 802468953 - 2¹ = 802468951 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 802468899 and 802468908.

It is not an unprimeable number, because it can be changed into a prime (802468951) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7251 + ... + 40712.

It is an arithmetic number, because the mean of its divisors is an integer number (38035452).

Almost surely, 2^802468953 is an apocalyptic number.

It is an amenable number.

802468953 is a deficient number, since it is larger than the sum of its proper divisors (566807319).

802468953 is a wasteful number, since it uses less digits than its factorization.

802468953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48006 (or 47990 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 802468953 is about 28327.8829600802. The cubic root of 802468953 is about 929.2717747005.

The spelling of 802468953 in words is "eight hundred two million, four hundred sixty-eight thousand, nine hundred fifty-three".