1325724400 has 540 divisors, whose sum is σ = 4487770056. Its totient is φ = 372556800.

The previous prime is 1325724397. The next prime is 1325724403. The reversal of 1325724400 is 44275231.

It is an interprime number because it is at equal distance from previous prime (1325724397) and next prime (1325724403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325724403) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30830779 + ... + 30830821.

Almost surely, 2^1325724400 is an apocalyptic number.

1325724400 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 1325724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243885028).

1325724400 is an abundant number, since it is smaller than the sum of its proper divisors (3162045656).

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

1325724400 is a wasteful number, since it uses less digits than its factorization.

1325724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1325724400 is about 36410.4984860136. The cubic root of 1325724400 is about 1098.5447422656.

Adding to 1325724400 its reverse (44275231), we get a palindrome (1369999631).

The spelling of 1325724400 in words is "one billion, three hundred twenty-five million, seven hundred twenty-four thousand, four hundred".