905830272 has 48 divisors (see below), whose sum is σ = 2606624280. Its totient is φ = 301943040.

The previous prime is 905830267. The next prime is 905830273. The reversal of 905830272 is 272038509.

It is a happy number.

905830272 is a `hidden beast` number, since 9 + 0 + 583 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905830273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 392004 + ... + 394307.

Almost surely, 2^905830272 is an apocalyptic number.

It is an amenable number.

905830272 is an abundant number, since it is smaller than the sum of its proper divisors (1700794008).

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

905830272 is a wasteful number, since it uses less digits than its factorization.

905830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786331 (or 786316 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 905830272 is about 30097.0143369737. The cubic root of 905830272 is about 967.5697379774.

The spelling of 905830272 in words is "nine hundred five million, eight hundred thirty thousand, two hundred seventy-two".