1353964458 has 128 divisors (see below), whose sum is σ = 3505582080. Its totient is φ = 338411520.

The previous prime is 1353964393. The next prime is 1353964459. The reversal of 1353964458 is 8544693531.

It is not an unprimeable number, because it can be changed into a prime (1353964459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1760298 + ... + 1761066.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 2^1353964458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353964458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752791040).

1353964458 is an abundant number, since it is smaller than the sum of its proper divisors (2151617622).

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

1353964458 is a wasteful number, since it uses less digits than its factorization.

1353964458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932.

The product of its digits is 1555200, while the sum is 48.

The square root of 1353964458 is about 36796.2560323737. The cubic root of 1353964458 is about 1106.2902580900.

The spelling of 1353964458 in words is "one billion, three hundred fifty-three million, nine hundred sixty-four thousand, four hundred fifty-eight".