1949681448 has 512 divisors, whose sum is σ = 6967296000. Its totient is φ = 496005120.

The previous prime is 1949681423. The next prime is 1949681453. The reversal of 1949681448 is 8441869491.

It is a happy number.

1949681448 is a `hidden beast` number, since 1 + 9 + 496 + 8 + 144 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1949681394 and 1949681403.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24679473 + ... + 24679551.

It is an arithmetic number, because the mean of its divisors is an integer number (13608000).

Almost surely, 2^1949681448 is an apocalyptic number.

1949681448 is a gapful number since it is divisible by the number (18) 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 1949681448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648000).

1949681448 is an abundant number, since it is smaller than the sum of its proper divisors (5017614552).

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

1949681448 is a wasteful number, since it uses less digits than its factorization.

1949681448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1949681448 is about 44155.1972931840. The cubic root of 1949681448 is about 1249.2649434115.

The spelling of 1949681448 in words is "one billion, nine hundred forty-nine million, six hundred eighty-one thousand, four hundred forty-eight".