814948920 has 96 divisors (see below), whose sum is σ = 2652455520. Its totient is φ = 217002240.

The previous prime is 814948913. The next prime is 814948921. The reversal of 814948920 is 29849418.

814948920 is a `hidden beast` number, since 8 + 149 + 489 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814948921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 346950 + ... + 349290.

It is an arithmetic number, because the mean of its divisors is an integer number (27629745).

Almost surely, 2^814948920 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 814948920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326227760).

814948920 is an abundant number, since it is smaller than the sum of its proper divisors (1837506600).

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

814948920 is a wasteful number, since it uses less digits than its factorization.

814948920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 814948920 is about 28547.3102060422. The cubic root of 814948920 is about 934.0643484989.

The spelling of 814948920 in words is "eight hundred fourteen million, nine hundred forty-eight thousand, nine hundred twenty".