1825673472 has 288 divisors, whose sum is σ = 6249734400. Its totient is φ = 514916352.

The previous prime is 1825673459. The next prime is 1825673497. The reversal of 1825673472 is 2743765281.

1825673472 is a `hidden beast` number, since 1 + 82 + 567 + 3 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 4693054 + ... + 4693442.

Almost surely, 2^1825673472 is an apocalyptic number.

1825673472 is a gapful number since it is divisible by the number (12) 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 1825673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124867200).

1825673472 is an abundant number, since it is smaller than the sum of its proper divisors (4424060928).

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

1825673472 is an equidigital number, since it uses as much as digits as its factorization.

1825673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 498 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1825673472 is about 42727.9003930687. The cubic root of 1825673472 is about 1222.1964981081.

The spelling of 1825673472 in words is "one billion, eight hundred twenty-five million, six hundred seventy-three thousand, four hundred seventy-two".