1825240320 has 432 divisors, whose sum is σ = 6887462400. Its totient is φ = 444579840.

The previous prime is 1825240283. The next prime is 1825240349. The reversal of 1825240320 is 230425281.

1825240320 is a `hidden beast` number, since 1 + 8 + 252 + 403 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6785146 + ... + 6785414.

It is an arithmetic number, because the mean of its divisors is an integer number (15943200).

Almost surely, 2^1825240320 is an apocalyptic number.

1825240320 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 1825240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443731200).

1825240320 is an abundant number, since it is smaller than the sum of its proper divisors (5062222080).

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

1825240320 is a wasteful number, since it uses less digits than its factorization.

1825240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

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

The square root of 1825240320 is about 42722.8313668465. The cubic root of 1825240320 is about 1222.0998326422.

The spelling of 1825240320 in words is "one billion, eight hundred twenty-five million, two hundred forty thousand, three hundred twenty".