905385264 has 160 divisors (see below), whose sum is σ = 2890529280. Its totient is φ = 238381056.

The previous prime is 905385263. The next prime is 905385319. The reversal of 905385264 is 462583509.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (905385263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234292 + ... + 238124.

It is an arithmetic number, because the mean of its divisors is an integer number (18065808).

Almost surely, 2^905385264 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 905385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445264640).

905385264 is an abundant number, since it is smaller than the sum of its proper divisors (1985144016).

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

905385264 is a wasteful number, since it uses less digits than its factorization.

905385264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 905385264 is about 30089.6205359921. The cubic root of 905385264 is about 967.4112657571.

The spelling of 905385264 in words is "nine hundred five million, three hundred eighty-five thousand, two hundred sixty-four".