1325284800 has 168 divisors, whose sum is σ = 4969312896. Its totient is φ = 302914560.

The previous prime is 1325284799. The next prime is 1325284801. The reversal of 1325284800 is 84825231.

It is an interprime number because it is at equal distance from previous prime (1325284799) and next prime (1325284801).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1325284800² = 3512759602222080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325284801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13879 + ... + 53321.

Almost surely, 2^1325284800 is an apocalyptic number.

1325284800 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 1325284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484656448).

1325284800 is an abundant number, since it is smaller than the sum of its proper divisors (3644028096).

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

1325284800 is a wasteful number, since it uses less digits than its factorization.

1325284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39475 (or 39460 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1325284800 is about 36404.4612650702. The cubic root of 1325284800 is about 1098.4233058504.

The spelling of 1325284800 in words is "one billion, three hundred twenty-five million, two hundred eighty-four thousand, eight hundred".