905901948 has 96 divisors (see below), whose sum is σ = 2693483520. Its totient is φ = 257929920.

The previous prime is 905901947. The next prime is 905901949. The reversal of 905901948 is 849109509.

905901948 is a `hidden beast` number, since 9 + 0 + 590 + 19 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (905901947) and next prime (905901949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905901947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233190 + ... + 237042.

It is an arithmetic number, because the mean of its divisors is an integer number (28057120).

Almost surely, 2^905901948 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 905901948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346741760).

905901948 is an abundant number, since it is smaller than the sum of its proper divisors (1787581572).

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

905901948 is a wasteful number, since it uses less digits than its factorization.

905901948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 905901948 is about 30098.2050627608. The cubic root of 905901948 is about 967.5952577322.

The spelling of 905901948 in words is "nine hundred five million, nine hundred one thousand, nine hundred forty-eight".