1325404080 has 640 divisors, whose sum is σ = 6139607040. Its totient is φ = 253808640.

The previous prime is 1325404057. The next prime is 1325404097. The reversal of 1325404080 is 804045231.

1325404080 is a `hidden beast` number, since 1 + 3 + 2 + 540 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2161854 + ... + 2162466.

It is an arithmetic number, because the mean of its divisors is an integer number (9593136).

Almost surely, 2^1325404080 is an apocalyptic number.

1325404080 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 1325404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069803520).

1325404080 is an abundant number, since it is smaller than the sum of its proper divisors (4814202960).

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

1325404080 is a wasteful number, since it uses less digits than its factorization.

1325404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1325404080 is about 36406.0994889593. The cubic root of 1325404080 is about 1098.4562587677.

The spelling of 1325404080 in words is "one billion, three hundred twenty-five million, four hundred four thousand, eighty".