1205453460 has 144 divisors (see below), whose sum is σ = 3565283904. Its totient is φ = 304280064.

The previous prime is 1205453449. The next prime is 1205453467. The reversal of 1205453460 is 643545021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205453467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5173504 + ... + 5173736.

It is an arithmetic number, because the mean of its divisors is an integer number (24758916).

Almost surely, 2^1205453460 is an apocalyptic number.

1205453460 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 1205453460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782641952).

1205453460 is an abundant number, since it is smaller than the sum of its proper divisors (2359830444).

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

1205453460 is a wasteful number, since it uses less digits than its factorization.

1205453460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1205453460 is about 34719.6408391562. The cubic root of 1205453460 is about 1064.2659050967.

Adding to 1205453460 its reverse (643545021), we get a palindrome (1848998481).

The spelling of 1205453460 in words is "one billion, two hundred five million, four hundred fifty-three thousand, four hundred sixty".