1353424000 has 64 divisors (see below), whose sum is σ = 3364990200. Its totient is φ = 541363200.

The previous prime is 1353423977. The next prime is 1353424001. The reversal of 1353424000 is 4243531.

It can be written as a sum of positive squares in 4 ways, for example, as 648415296 + 705008704 = 25464^2 + 26552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1353424001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26295 + ... + 58294.

Almost surely, 2^1353424000 is an apocalyptic number.

1353424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353424000 is an abundant number, since it is smaller than the sum of its proper divisors (2011566200).

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

1353424000 is an frugal number, since it uses more digits than its factorization.

1353424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84618 (or 84596 counting only the distinct ones).

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

The square root of 1353424000 is about 36788.9113728580. The cubic root of 1353424000 is about 1106.1430402934.

Adding to 1353424000 its reverse (4243531), we get a palindrome (1357667531).

The spelling of 1353424000 in words is "one billion, three hundred fifty-three million, four hundred twenty-four thousand".