1649481120 has 432 divisors, whose sum is σ = 6642804168. Its totient is φ = 371589120.

The previous prime is 1649481109. The next prime is 1649481137. The reversal of 1649481120 is 211849461.

1649481120 is a `hidden beast` number, since 1 + 649 + 4 + 8 + 1 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1447954704 + 201526416 = 38052^2 + 14196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6844200 + ... + 6844440.

Almost surely, 2^1649481120 is an apocalyptic number.

1649481120 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 1649481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321402084).

1649481120 is an abundant number, since it is smaller than the sum of its proper divisors (4993323048).

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

1649481120 is a wasteful number, since it uses less digits than its factorization.

1649481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1649481120 is about 40613.8045496848. The cubic root of 1649481120 is about 1181.5418702639.

The spelling of 1649481120 in words is "one billion, six hundred forty-nine million, four hundred eighty-one thousand, one hundred twenty".