1205431040 has 216 divisors, whose sum is σ = 3265486224. Its totient is φ = 425779200.

The previous prime is 1205431033. The next prime is 1205431057. The reversal of 1205431040 is 401345021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6659750 + ... + 6659930.

Almost surely, 2^1205431040 is an apocalyptic number.

1205431040 is a gapful number since it is divisible by the number (10) 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 1205431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632743112).

1205431040 is an abundant number, since it is smaller than the sum of its proper divisors (2060055184).

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

1205431040 is a wasteful number, since it uses less digits than its factorization.

1205431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1205431040 is about 34719.3179656513. The cubic root of 1205431040 is about 1064.2593070293.

Adding to 1205431040 its reverse (401345021), we get a palindrome (1606776061).

The spelling of 1205431040 in words is "one billion, two hundred five million, four hundred thirty-one thousand, forty".