1829384840 has 32 divisors (see below), whose sum is σ = 4129294680. Its totient is φ = 729411072.

The previous prime is 1829384839. The next prime is 1829384849. The reversal of 1829384840 is 484839281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1191216196 + 638168644 = 34514^2 + 25262^2 .

It is not an unprimeable number, because it can be changed into a prime (1829384849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60539 + ... + 85578.

Almost surely, 2^1829384840 is an apocalyptic number.

1829384840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829384840 is an abundant number, since it is smaller than the sum of its proper divisors (2299909840).

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

1829384840 is a wasteful number, since it uses less digits than its factorization.

1829384840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146441 (or 146437 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 1829384840 is about 42771.3086075233. The cubic root of 1829384840 is about 1223.0241288950.

The spelling of 1829384840 in words is "one billion, eight hundred twenty-nine million, three hundred eighty-four thousand, eight hundred forty".