1825744320 has 112 divisors (see below), whose sum is σ = 6440850720. Its totient is φ = 486862848.

The previous prime is 1825744313. The next prime is 1825744351. The reversal of 1825744320 is 234475281.

It is a happy number.

1825744320 is a `hidden beast` number, since 1 + 82 + 574 + 4 + 3 + 2 + 0 = 666.

It is a super-4 number, since 4×1825744320⁴ (a number of 38 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 97017 + ... + 114296.

Almost surely, 2^1825744320 is an apocalyptic number.

1825744320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1825744320 is an abundant number, since it is smaller than the sum of its proper divisors (4615106400).

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

1825744320 is a wasteful number, since it uses less digits than its factorization.

1825744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211339 (or 211323 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1825744320 is about 42728.7294451871. The cubic root of 1825744320 is about 1222.2123076270.

The spelling of 1825744320 in words is "one billion, eight hundred twenty-five million, seven hundred forty-four thousand, three hundred twenty".