905332440 has 128 divisors (see below), whose sum is σ = 2932070400. Its totient is φ = 222942720.

The previous prime is 905332427. The next prime is 905332447. The reversal of 905332440 is 44233509.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 905332398 and 905332407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905332447) 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, 74385 + ... + 85695.

It is an arithmetic number, because the mean of its divisors is an integer number (22906800).

Almost surely, 2^905332440 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 905332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466035200).

905332440 is an abundant number, since it is smaller than the sum of its proper divisors (2026737960).

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

905332440 is a wasteful number, since it uses less digits than its factorization.

905332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11377 (or 11373 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 905332440 is about 30088.7427454189. The cubic root of 905332440 is about 967.3924511049.

Adding to 905332440 its reverse (44233509), we get a palindrome (949565949).

The spelling of 905332440 in words is "nine hundred five million, three hundred thirty-two thousand, four hundred forty".