905495040 has 120 divisors (see below), whose sum is σ = 3136063788. Its totient is φ = 241459200.

The previous prime is 905495033. The next prime is 905495113. The reversal of 905495040 is 40594509.

It can be written as a sum of positive squares in 2 ways, for example, as 877107456 + 28387584 = 29616^2 + 5328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 905494986 and 905495004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3390 + ... + 42690.

Almost surely, 2^905495040 is an apocalyptic number.

905495040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568031894).

905495040 is an abundant number, since it is smaller than the sum of its proper divisors (2230568748).

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

905495040 is a wasteful number, since it uses less digits than its factorization.

905495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39330 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 905495040 is about 30091.4446313234. Note that the first 3 decimals coincide. The cubic root of 905495040 is about 967.4503630164.

The spelling of 905495040 in words is "nine hundred five million, four hundred ninety-five thousand, forty".