814645272 has 32 divisors (see below), whose sum is σ = 2327558400. Its totient is φ = 232755744.

The previous prime is 814645207. The next prime is 814645297. The reversal of 814645272 is 272546418.

It is a self number, because there is not a number n which added to its sum of digits gives 814645272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2424372 + ... + 2424707.

It is an arithmetic number, because the mean of its divisors is an integer number (72736200).

Almost surely, 2^814645272 is an apocalyptic number.

It is an amenable number.

814645272 is an abundant number, since it is smaller than the sum of its proper divisors (1512913128).

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

814645272 is a wasteful number, since it uses less digits than its factorization.

814645272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849095 (or 4849091 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 814645272 is about 28541.9913811213. The cubic root of 814645272 is about 933.9483240472.

It can be divided in two parts, 81464 and 5272, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 814645272 in words is "eight hundred fourteen million, six hundred forty-five thousand, two hundred seventy-two".