1205235040 has 96 divisors (see below), whose sum is σ = 2944620000. Its totient is φ = 465813504.

The previous prime is 1205234993. The next prime is 1205235047. The reversal of 1205235040 is 405325021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205235047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964336 + ... + 965584.

It is an arithmetic number, because the mean of its divisors is an integer number (30673125).

Almost surely, 2^1205235040 is an apocalyptic number.

1205235040 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 1205235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472310000).

1205235040 is an abundant number, since it is smaller than the sum of its proper divisors (1739384960).

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

1205235040 is a wasteful number, since it uses less digits than its factorization.

1205235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1205235040 is about 34716.4952148111. The cubic root of 1205235040 is about 1064.2016219568.

The spelling of 1205235040 in words is "one billion, two hundred five million, two hundred thirty-five thousand, forty".