905375250 has 144 divisors (see below), whose sum is σ = 2652052104. Its totient is φ = 222768000.

The previous prime is 905375231. The next prime is 905375267. The reversal of 905375250 is 52573509.

It can be written as a sum of positive squares in 12 ways, for example, as 625850289 + 279524961 = 25017^2 + 16719^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379060 + ... + 381440.

Almost surely, 2^905375250 is an apocalyptic number.

905375250 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 905375250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326026052).

905375250 is an abundant number, since it is smaller than the sum of its proper divisors (1746676854).

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

905375250 is a wasteful number, since it uses less digits than its factorization.

905375250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 905375250 is about 30089.4541326359. The cubic root of 905375250 is about 967.4076990648.

The spelling of 905375250 in words is "nine hundred five million, three hundred seventy-five thousand, two hundred fifty".