1205609472 has 66 divisors (see below), whose sum is σ = 3481197798. Its totient is φ = 401866752.

The previous prime is 1205609467. The next prime is 1205609473. The reversal of 1205609472 is 2749065021.

1205609472 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 609 + 47 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1187767296 + 17842176 = 34464^2 + 4224^2 .

It is a super-2 number, since 2×1205609472² = 2906988397952237568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1205609473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56193 + ... + 74624.

Almost surely, 2^1205609472 is an apocalyptic number.

1205609472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205609472 is an abundant number, since it is smaller than the sum of its proper divisors (2275588326).

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

1205609472 is a wasteful number, since it uses less digits than its factorization.

1205609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130843 (or 130822 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1205609472 is about 34721.8875062978. The cubic root of 1205609472 is about 1064.3118161986.

The spelling of 1205609472 in words is "one billion, two hundred five million, six hundred nine thousand, four hundred seventy-two".