1353240400 has 30 divisors (see below), whose sum is σ = 3251161022. Its totient is φ = 541296000.

The previous prime is 1353240391. The next prime is 1353240419. The reversal of 1353240400 is 40423531.

It can be written as a sum of positive squares in 3 ways, for example, as 400160016 + 953080384 = 20004^2 + 30872^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1691151 + ... + 1691950.

Almost surely, 2^1353240400 is an apocalyptic number.

1353240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353240400 is an abundant number, since it is smaller than the sum of its proper divisors (1897920622).

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

1353240400 is a wasteful number, since it uses less digits than its factorization.

1353240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383119 (or 3383108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1353240400 is about 36786.4159711163. The cubic root of 1353240400 is about 1106.0930197415.

Adding to 1353240400 its reverse (40423531), we get a palindrome (1393663931).

The spelling of 1353240400 in words is "one billion, three hundred fifty-three million, two hundred forty thousand, four hundred".