1352030400 has 672 divisors, whose sum is σ = 5986759680. Its totient is φ = 289751040.

The previous prime is 1352030399. The next prime is 1352030401. The reversal of 1352030400 is 40302531.

It is an interprime number because it is at equal distance from previous prime (1352030399) and next prime (1352030401).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1352030401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5140669 + ... + 5140931.

Almost surely, 2^1352030400 is an apocalyptic number.

1352030400 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 1352030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993379840).

1352030400 is an abundant number, since it is smaller than the sum of its proper divisors (4634729280).

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

1352030400 is a wasteful number, since it uses less digits than its factorization.

1352030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1352030400 is about 36769.9660048796. The cubic root of 1352030400 is about 1105.7632503834.

Adding to 1352030400 its reverse (40302531), we get a palindrome (1392332931).

The spelling of 1352030400 in words is "one billion, three hundred fifty-two million, thirty thousand, four hundred".