1832725440 has 1008 divisors, whose sum is σ = 8410907232. Its totient is φ = 376233984.

The previous prime is 1832725421. The next prime is 1832725457. The reversal of 1832725440 is 445272381.

It is a happy number.

1832725440 is a `hidden beast` number, since 18 + 32 + 72 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1832725395 and 1832725404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49533102 + ... + 49533138.

It is an arithmetic number, because the mean of its divisors is an integer number (8344154).

Almost surely, 2^1832725440 is an apocalyptic number.

1832725440 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 1832725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205453616).

1832725440 is an abundant number, since it is smaller than the sum of its proper divisors (6578181792).

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

1832725440 is a wasteful number, since it uses less digits than its factorization.

1832725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1832725440 is about 42810.3426755732. The cubic root of 1832725440 is about 1223.7681221652.

The spelling of 1832725440 in words is "one billion, eight hundred thirty-two million, seven hundred twenty-five thousand, four hundred forty".