3462400253 has 12 divisors (see below), whose sum is σ = 3753917244. Its totient is φ = 3174624000.

The previous prime is 3462400213. The next prime is 3462400259. The reversal of 3462400253 is 3520042643.

It can be written as a sum of positive squares in 2 ways, for example, as 1083594724 + 2378805529 = 32918^2 + 48773^2 .

It is not a de Polignac number, because 3462400253 - 2⁶ = 3462400189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462400259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290573 + ... + 302253.

It is an arithmetic number, because the mean of its divisors is an integer number (312826437).

Almost surely, 2^3462400253 is an apocalyptic number.

It is an amenable number.

3462400253 is a deficient number, since it is larger than the sum of its proper divisors (291516991).

3462400253 is a wasteful number, since it uses less digits than its factorization.

3462400253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 3462400253 is about 58842.1639048055. The cubic root of 3462400253 is about 1512.8379960700.

Adding to 3462400253 its reverse (3520042643), we get a palindrome (6982442896).

The spelling of 3462400253 in words is "three billion, four hundred sixty-two million, four hundred thousand, two hundred fifty-three".