905327472 has 160 divisors (see below), whose sum is σ = 2879815680. Its totient is φ = 239374080.

The previous prime is 905327453. The next prime is 905327477. The reversal of 905327472 is 274723509.

It is a self number, because there is not a number n which added to its sum of digits gives 905327472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905327477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237679 + ... + 241457.

It is an arithmetic number, because the mean of its divisors is an integer number (17998848).

Almost surely, 2^905327472 is an apocalyptic number.

905327472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905327472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

905327472 is an abundant number, since it is smaller than the sum of its proper divisors (1974488208).

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

905327472 is a wasteful number, since it uses less digits than its factorization.

905327472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 905327472 is about 30088.6601895133. The cubic root of 905327472 is about 967.3906815838.

The spelling of 905327472 in words is "nine hundred five million, three hundred twenty-seven thousand, four hundred seventy-two".