1825297920 has 240 divisors, whose sum is σ = 6367561200. Its totient is φ = 483213312.

The previous prime is 1825297919. The next prime is 1825297933. The reversal of 1825297920 is 297925281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5229906 + ... + 5230254.

It is an arithmetic number, because the mean of its divisors is an integer number (26531505).

Almost surely, 2^1825297920 is an apocalyptic number.

1825297920 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 1825297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183780600).

1825297920 is an abundant number, since it is smaller than the sum of its proper divisors (4542263280).

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

1825297920 is a wasteful number, since it uses less digits than its factorization.

1825297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1825297920 is about 42723.5054741532. The cubic root of 1825297920 is about 1222.1126879740.

The spelling of 1825297920 in words is "one billion, eight hundred twenty-five million, two hundred ninety-seven thousand, nine hundred twenty".