1849464960 has 512 divisors, whose sum is σ = 7294648320. Its totient is φ = 389283840.

The previous prime is 1849464949. The next prime is 1849464961. The reversal of 1849464960 is 694649481.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1849464961) 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 63 ways as a sum of consecutive naturals, for example, 9582624 + ... + 9582816.

It is an arithmetic number, because the mean of its divisors is an integer number (14247360).

Almost surely, 2^1849464960 is an apocalyptic number.

1849464960 is a gapful number since it is divisible by the number (10) 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 1849464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647324160).

1849464960 is an abundant number, since it is smaller than the sum of its proper divisors (5445183360).

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

1849464960 is a wasteful number, since it uses less digits than its factorization.

1849464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 1849464960 is about 43005.4061717826. The cubic root of 1849464960 is about 1227.4826696187.

The spelling of 1849464960 in words is "one billion, eight hundred forty-nine million, four hundred sixty-four thousand, nine hundred sixty".