905352 has 64 divisors (see below), whose sum is σ = 2747520. Its totient is φ = 242688.

The previous prime is 905347. The next prime is 905381. The reversal of 905352 is 253509.

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

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, 2698 + ... + 3014.

It is an arithmetic number, because the mean of its divisors is an integer number (42930).

2⁹⁰⁵³⁵² is an apocalyptic number.

It is a pronic number, being equal to 951×952.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373760).

905352 is an abundant number, since it is smaller than the sum of its proper divisors (1842168).

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

905352 is a wasteful number, since it uses less digits than its factorization.

905352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 905352 is about 951.4998686285. The cubic root of 905352 is about 96.7399417997.

The spelling of 905352 in words is "nine hundred five thousand, three hundred fifty-two".