814121952 has 192 divisors, whose sum is σ = 2537256960. Its totient is φ = 223727616.

The previous prime is 814121909. The next prime is 814121963. The reversal of 814121952 is 259121418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3406249 + ... + 3406487.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 2^814121952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268628480).

814121952 is an abundant number, since it is smaller than the sum of its proper divisors (1723135008).

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

814121952 is a wasteful number, since it uses less digits than its factorization.

814121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 814121952 is about 28532.8223630261. The cubic root of 814121952 is about 933.7482948452.

The spelling of 814121952 in words is "eight hundred fourteen million, one hundred twenty-one thousand, nine hundred fifty-two".