921200352 has 96 divisors (see below), whose sum is σ = 2620138752. Its totient is φ = 282261504.

The previous prime is 921200339. The next prime is 921200383. The reversal of 921200352 is 253002129.

921200352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×921200352² = 1697220177049847808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63613 + ... + 76739.

It is an arithmetic number, because the mean of its divisors is an integer number (27293112).

Almost surely, 2^921200352 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 921200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310069376).

921200352 is an abundant number, since it is smaller than the sum of its proper divisors (1698938400).

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

921200352 is a wasteful number, since it uses less digits than its factorization.

921200352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 921200352 is about 30351.2825429174. The cubic root of 921200352 is about 973.0116311374.

The spelling of 921200352 in words is "nine hundred twenty-one million, two hundred thousand, three hundred fifty-two".