924929920 has 128 divisors (see below), whose sum is σ = 2288684160. Its totient is φ = 357236736.

The previous prime is 924929909. The next prime is 924929927. The reversal of 924929920 is 29929429.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×924929920² = 1710990713822412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (924929927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917602 + ... + 2917918.

It is an arithmetic number, because the mean of its divisors is an integer number (17880345).

Almost surely, 2^924929920 is an apocalyptic number.

924929920 is the 24832-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 924929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144342080).

924929920 is an abundant number, since it is smaller than the sum of its proper divisors (1363754240).

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

924929920 is a wasteful number, since it uses less digits than its factorization.

924929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 924929920 is about 30412.6605215657. The cubic root of 924929920 is about 974.3229733394.

The spelling of 924929920 in words is "nine hundred twenty-four million, nine hundred twenty-nine thousand, nine hundred twenty".