920406852 has 72 divisors (see below), whose sum is σ = 2352646296. Its totient is φ = 303389184.

The previous prime is 920406841. The next prime is 920406863. The reversal of 920406852 is 258604029.

It is a happy number.

920406852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (920406841) and next prime (920406863).

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 833245956 = 9336^2 + 28866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652158 + ... + 1652714.

It is an arithmetic number, because the mean of its divisors is an integer number (32675643).

Almost surely, 2^920406852 is an apocalyptic number.

It is an amenable number.

920406852 is an abundant number, since it is smaller than the sum of its proper divisors (1432239444).

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

920406852 is a wasteful number, since it uses less digits than its factorization.

920406852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 920406852 is about 30338.2077914962. The cubic root of 920406852 is about 972.7321745498.

The spelling of 920406852 in words is "nine hundred twenty million, four hundred six thousand, eight hundred fifty-two".