1353296440 has 16 divisors (see below), whose sum is σ = 3044917080. Its totient is φ = 541318560.

The previous prime is 1353296431. The next prime is 1353296447. The reversal of 1353296440 is 446923531.

It is a super-2 number, since 2×1353296440² = 3662822509033347200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1353296440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353296447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16916166 + ... + 16916245.

Almost surely, 2^1353296440 is an apocalyptic number.

1353296440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353296440 is an abundant number, since it is smaller than the sum of its proper divisors (1691620640).

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

1353296440 is a wasteful number, since it uses less digits than its factorization.

1353296440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33832422 (or 33832418 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 1353296440 is about 36787.1776574393. The cubic root of 1353296440 is about 1106.1082879322.

The spelling of 1353296440 in words is "one billion, three hundred fifty-three million, two hundred ninety-six thousand, four hundred forty".