1325717400 has 384 divisors, whose sum is σ = 5088960000. Its totient is φ = 278691840.

The previous prime is 1325717377. The next prime is 1325717413. The reversal of 1325717400 is 47175231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2952376 + ... + 2952824.

It is an arithmetic number, because the mean of its divisors is an integer number (13252500).

Almost surely, 2^1325717400 is an apocalyptic number.

1325717400 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 1325717400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480000).

1325717400 is an abundant number, since it is smaller than the sum of its proper divisors (3763242600).

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

1325717400 is a wasteful number, since it uses less digits than its factorization.

1325717400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1325717400 is about 36410.4023597653. The cubic root of 1325717400 is about 1098.5428087751.

The spelling of 1325717400 in words is "one billion, three hundred twenty-five million, seven hundred seventeen thousand, four hundred".