905014080 has 448 divisors, whose sum is σ = 3474720000. Its totient is φ = 220962816.

The previous prime is 905014079. The next prime is 905014139. The reversal of 905014080 is 80410509.

905014080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6073846 + ... + 6073994.

Almost surely, 2^905014080 is an apocalyptic number.

905014080 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 905014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737360000).

905014080 is an abundant number, since it is smaller than the sum of its proper divisors (2569705920).

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

905014080 is a wasteful number, since it uses less digits than its factorization.

905014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 905014080 is about 30083.4519295908. The cubic root of 905014080 is about 967.2790433464.

Adding to 905014080 its reverse (80410509), we get a palindrome (985424589).

The spelling of 905014080 in words is "nine hundred five million, fourteen thousand, eighty".