1829498920 has 16 divisors (see below), whose sum is σ = 4116372660. Its totient is φ = 731799552.

The previous prime is 1829498903. The next prime is 1829498927. The reversal of 1829498920 is 298949281.

It can be written as a sum of positive squares in 2 ways, for example, as 1762488324 + 67010596 = 41982^2 + 8186^2 .

It is not an unprimeable number, because it can be changed into a prime (1829498927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22868697 + ... + 22868776.

Almost surely, 2^1829498920 is an apocalyptic number.

1829498920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829498920 is an abundant number, since it is smaller than the sum of its proper divisors (2286873740).

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

1829498920 is a wasteful number, since it uses less digits than its factorization.

1829498920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45737484 (or 45737480 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The square root of 1829498920 is about 42772.6421910080. The cubic root of 1829498920 is about 1223.0495508637.

The spelling of 1829498920 in words is "one billion, eight hundred twenty-nine million, four hundred ninety-eight thousand, nine hundred twenty".