1352060400 has 120 divisors (see below), whose sum is σ = 4373549440. Its totient is φ = 357016320.

The previous prime is 1352060393. The next prime is 1352060441. The reversal of 1352060400 is 40602531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118131 + ... + 129069.

Almost surely, 2^1352060400 is an apocalyptic number.

1352060400 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 1352060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186774720).

1352060400 is an abundant number, since it is smaller than the sum of its proper divisors (3021489040).

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

1352060400 is a wasteful number, since it uses less digits than its factorization.

1352060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11052 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1352060400 is about 36770.3739442503. The cubic root of 1352060400 is about 1105.7714288613.

Adding to 1352060400 its reverse (40602531), we get a palindrome (1392662931).

It can be divided in two parts, 13520 and 60400, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 1352060400 in words is "one billion, three hundred fifty-two million, sixty thousand, four hundred".