1842784272 has 240 divisors, whose sum is σ = 6096609792. Its totient is φ = 508723200.

The previous prime is 1842784271. The next prime is 1842784291. The reversal of 1842784272 is 2724872481.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1842784271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4595272 + ... + 4595672.

Almost surely, 2^1842784272 is an apocalyptic number.

1842784272 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 1842784272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048304896).

1842784272 is an abundant number, since it is smaller than the sum of its proper divisors (4253825520).

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

1842784272 is a wasteful number, since it uses less digits than its factorization.

1842784272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 1842784272 is about 42927.6632487723. The cubic root of 1842784272 is about 1226.0029042597.

The spelling of 1842784272 in words is "one billion, eight hundred forty-two million, seven hundred eighty-four thousand, two hundred seventy-two".