1352100400 has 120 divisors (see below), whose sum is σ = 3723206144. Its totient is φ = 462240000.

The previous prime is 1352100397. The next prime is 1352100403. The reversal of 1352100400 is 40012531.

It is an interprime number because it is at equal distance from previous prime (1352100397) and next prime (1352100403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1352100403) 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, 1800025 + ... + 1800775.

Almost surely, 2^1352100400 is an apocalyptic number.

1352100400 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 1352100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861603072).

1352100400 is an abundant number, since it is smaller than the sum of its proper divisors (2371105744).

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

1352100400 is a wasteful number, since it uses less digits than its factorization.

1352100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1352100400 is about 36770.9178563712. The cubic root of 1352100400 is about 1105.7823333103.

Adding to 1352100400 its reverse (40012531), we get a palindrome (1392112931).

The spelling of 1352100400 in words is "one billion, three hundred fifty-two million, one hundred thousand, four hundred".