1825225920 has 448 divisors, whose sum is σ = 7455651840. Its totient is φ = 411734016.

The previous prime is 1825225907. The next prime is 1825225931. The reversal of 1825225920 is 295225281.

1825225920 is a `hidden beast` number, since 1 + 82 + 522 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6229294 + ... + 6229586.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^1825225920 is an apocalyptic number.

1825225920 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 1825225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727825920).

1825225920 is an abundant number, since it is smaller than the sum of its proper divisors (5630425920).

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

1825225920 is a wasteful number, since it uses less digits than its factorization.

1825225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1825225920 is about 42722.6628383578. The cubic root of 1825225920 is about 1222.0966187669.

The spelling of 1825225920 in words is "one billion, eight hundred twenty-five million, two hundred twenty-five thousand, nine hundred twenty".