1353534400 has 168 divisors, whose sum is σ = 3560307840. Its totient is φ = 505344000.

The previous prime is 1353534397. The next prime is 1353534409. The reversal of 1353534400 is 44353531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353534409) 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 23 ways as a sum of consecutive naturals, for example, 1437930 + ... + 1438870.

Almost surely, 2^1353534400 is an apocalyptic number.

1353534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780153920).

1353534400 is an abundant number, since it is smaller than the sum of its proper divisors (2206773440).

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

1353534400 is a wasteful number, since it uses less digits than its factorization.

1353534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 1353534400 is about 36790.4117943793. The cubic root of 1353534400 is about 1106.1731158330.

Adding to 1353534400 its reverse (44353531), we get a palindrome (1397887931).

The spelling of 1353534400 in words is "one billion, three hundred fifty-three million, five hundred thirty-four thousand, four hundred".