1824145920 has 400 divisors, whose sum is σ = 6892237440. Its totient is φ = 459841536.

The previous prime is 1824145919. The next prime is 1824145933. The reversal of 1824145920 is 295414281.

1824145920 is a `hidden beast` number, since 182 + 4 + 1 + 459 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3939609 + ... + 3940071.

Almost surely, 2^1824145920 is an apocalyptic number.

1824145920 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 1824145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446118720).

1824145920 is an abundant number, since it is smaller than the sum of its proper divisors (5068091520).

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

1824145920 is an equidigital number, since it uses as much as digits as its factorization.

1824145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1824145920 is about 42710.0213064803. The cubic root of 1824145920 is about 1221.8555299344.

The spelling of 1824145920 in words is "one billion, eight hundred twenty-four million, one hundred forty-five thousand, nine hundred twenty".