1809257472 has 264 divisors, whose sum is σ = 5919137952. Its totient is φ = 547430400.

The previous prime is 1809257369. The next prime is 1809257473. The reversal of 1809257472 is 2747529081.

It is a happy number.

1809257472 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 2 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809257473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736822 + ... + 2737482.

Almost surely, 2^1809257472 is an apocalyptic number.

1809257472 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 1809257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959568976).

1809257472 is an abundant number, since it is smaller than the sum of its proper divisors (4109880480).

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

1809257472 is an equidigital number, since it uses as much as digits as its factorization.

1809257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1809257472 is about 42535.3673076888. The cubic root of 1809257472 is about 1218.5222347387.

The spelling of 1809257472 in words is "one billion, eight hundred nine million, two hundred fifty-seven thousand, four hundred seventy-two".