905009040 has 240 divisors, whose sum is σ = 3379783680. Its totient is φ = 215516160.

The previous prime is 905008981. The next prime is 905009051. The reversal of 905009040 is 40900509.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 905008995 and 905009013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288601 + ... + 291719.

It is an arithmetic number, because the mean of its divisors is an integer number (14082432).

Almost surely, 2^905009040 is an apocalyptic number.

905009040 is a gapful number since it is divisible by the number (90) 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 905009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689891840).

905009040 is an abundant number, since it is smaller than the sum of its proper divisors (2474774640).

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

905009040 is a wasteful number, since it uses less digits than its factorization.

905009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 905009040 is about 30083.3681624914. The cubic root of 905009040 is about 967.2772477591.

Adding to 905009040 its reverse (40900509), we get a palindrome (945909549).

The spelling of 905009040 in words is "nine hundred five million, nine thousand, forty".