905400249 has 32 divisors (see below), whose sum is σ = 1342529664. Its totient is φ = 539136000.

The previous prime is 905400241. The next prime is 905400283. The reversal of 905400249 is 942004509.

It is not a de Polignac number, because 905400249 - 2³ = 905400241 is a prime.

It is a super-2 number, since 2×905400249² = 1639499221778524002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (905400241) 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, 276874 + ... + 280124.

It is an arithmetic number, because the mean of its divisors is an integer number (41954052).

Almost surely, 2^905400249 is an apocalyptic number.

It is an amenable number.

905400249 is a deficient number, since it is larger than the sum of its proper divisors (437129415).

905400249 is a wasteful number, since it uses less digits than its factorization.

905400249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 905400249 is about 30089.8695410931. The cubic root of 905400249 is about 967.4166029244.

The spelling of 905400249 in words is "nine hundred five million, four hundred thousand, two hundred forty-nine".