1325846400 has 192 divisors, whose sum is σ = 4398468480. Its totient is φ = 351016960.

The previous prime is 1325846387. The next prime is 1325846443. The reversal of 1325846400 is 46485231.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1602787 + ... + 1603613.

It is an arithmetic number, because the mean of its divisors is an integer number (22908690).

Almost surely, 2^1325846400 is an apocalyptic number.

1325846400 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 1325846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199234240).

1325846400 is an abundant number, since it is smaller than the sum of its proper divisors (3072622080).

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

1325846400 is a wasteful number, since it uses less digits than its factorization.

1325846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1325846400 is about 36412.1737884461. The cubic root of 1325846400 is about 1098.5784391505.

The spelling of 1325846400 in words is "one billion, three hundred twenty-five million, eight hundred forty-six thousand, four hundred".