905120000 has 90 divisors (see below), whose sum is σ = 2258056878. Its totient is φ = 361984000.

The previous prime is 905119991. The next prime is 905120053. The reversal of 905120000 is 21509.

It can be written as a sum of positive squares in 5 ways, for example, as 563017984 + 342102016 = 23728^2 + 18496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 157172 + ... + 162828.

Almost surely, 2^905120000 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 905120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129028439).

905120000 is an abundant number, since it is smaller than the sum of its proper divisors (1352936878).

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

905120000 is an frugal number, since it uses more digits than its factorization.

905120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 905120000 is about 30085.2123143580. The cubic root of 905120000 is about 967.3167776395.

Adding to 905120000 its reverse (21509), we get a palindrome (905141509).

The spelling of 905120000 in words is "nine hundred five million, one hundred twenty thousand".