1649049600 has 384 divisors, whose sum is σ = 6045996960. Its totient is φ = 393216000.

The previous prime is 1649049599. The next prime is 1649049601. The reversal of 1649049600 is 69409461.

It is an interprime number because it is at equal distance from previous prime (1649049599) and next prime (1649049601).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1649049601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27033570 + ... + 27033630.

Almost surely, 2^1649049600 is an apocalyptic number.

1649049600 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 1649049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022998480).

1649049600 is an abundant number, since it is smaller than the sum of its proper divisors (4396947360).

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

1649049600 is an equidigital number, since it uses as much as digits as its factorization.

1649049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1649049600 is about 40608.4917227912. The cubic root of 1649049600 is about 1181.4388270685.

The spelling of 1649049600 in words is "one billion, six hundred forty-nine million, forty-nine thousand, six hundred".