1353445400 has 48 divisors (see below), whose sum is σ = 3155155200. Its totient is φ = 539934080.

The previous prime is 1353445397. The next prime is 1353445403. The reversal of 1353445400 is 45443531.

1353445400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1353445397) and next prime (1353445403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353445403) 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 11 ways as a sum of consecutive naturals, for example, 67766 + ... + 85434.

It is an arithmetic number, because the mean of its divisors is an integer number (65732400).

Almost surely, 2^1353445400 is an apocalyptic number.

1353445400 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 1353445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577577600).

1353445400 is an abundant number, since it is smaller than the sum of its proper divisors (1801709800).

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

1353445400 is a wasteful number, since it uses less digits than its factorization.

1353445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18068 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 1353445400 is about 36789.2022202167. The cubic root of 1353445400 is about 1106.1488702812.

Adding to 1353445400 its reverse (45443531), we get a palindrome (1398888931).

The spelling of 1353445400 in words is "one billion, three hundred fifty-three million, four hundred forty-five thousand, four hundred".