905890050 has 144 divisors (see below), whose sum is σ = 2775525480. Its totient is φ = 209848320.

The previous prime is 905890043. The next prime is 905890057. The reversal of 905890050 is 50098509.

It is an interprime number because it is at equal distance from previous prime (905890043) and next prime (905890057).

It can be written as a sum of positive squares in 12 ways, for example, as 301401 + 905588649 = 549^2 + 30093^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 905889987 and 905890014.

It is not an unprimeable number, because it can be changed into a prime (905890057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94896 + ... + 104004.

Almost surely, 2^905890050 is an apocalyptic number.

905890050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 905890050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387762740).

905890050 is an abundant number, since it is smaller than the sum of its proper divisors (1869635430).

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

905890050 is a wasteful number, since it uses less digits than its factorization.

905890050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 905890050 is about 30098.0074091293. The cubic root of 905890050 is about 967.5910216230.

The spelling of 905890050 in words is "nine hundred five million, eight hundred ninety thousand, fifty".