1353430400 has 384 divisors, whose sum is σ = 4152591360. Its totient is φ = 425779200.

The previous prime is 1353430391. The next prime is 1353430409. The reversal of 1353430400 is 40343531.

It is an interprime number because it is at equal distance from previous prime (1353430391) and next prime (1353430409).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353430409) 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 47 ways as a sum of consecutive naturals, for example, 19062365 + ... + 19062435.

It is an arithmetic number, because the mean of its divisors is an integer number (10814040).

Almost surely, 2^1353430400 is an apocalyptic number.

1353430400 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 1353430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076295680).

1353430400 is an abundant number, since it is smaller than the sum of its proper divisors (2799160960).

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

1353430400 is a wasteful number, since it uses less digits than its factorization.

1353430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 1353430400 is about 36788.9983554867. The cubic root of 1353430400 is about 1106.1447838476.

Adding to 1353430400 its reverse (40343531), we get a palindrome (1393773931).

It can be divided in two parts, 13534 and 30400, that added together give a palindrome (43934).

The spelling of 1353430400 in words is "one billion, three hundred fifty-three million, four hundred thirty thousand, four hundred".