1949414208 has 224 divisors, whose sum is σ = 6396703488. Its totient is φ = 511180800.

The previous prime is 1949414183. The next prime is 1949414219. The reversal of 1949414208 is 8024149491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1949414208.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 935728 + ... + 937808.

It is an arithmetic number, because the mean of its divisors is an integer number (28556712).

Almost surely, 2^1949414208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198351744).

1949414208 is an abundant number, since it is smaller than the sum of its proper divisors (4447289280).

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

1949414208 is a wasteful number, since it uses less digits than its factorization.

1949414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1949414208 is about 44152.1710451479. The cubic root of 1949414208 is about 1249.2078624939.

The spelling of 1949414208 in words is "one billion, nine hundred forty-nine million, four hundred fourteen thousand, two hundred eight".