1649459520 has 336 divisors, whose sum is σ = 5932901520. Its totient is φ = 420249600.

The previous prime is 1649459507. The next prime is 1649459543. The reversal of 1649459520 is 259549461.

1649459520 is a `hidden beast` number, since 16 + 49 + 4 + 595 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 244109376 + 1405350144 = 15624^2 + 37488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7202766 + ... + 7202994.

It is an arithmetic number, because the mean of its divisors is an integer number (17657445).

Almost surely, 2^1649459520 is an apocalyptic number.

1649459520 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 1649459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966450760).

1649459520 is an abundant number, since it is smaller than the sum of its proper divisors (4283442000).

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

1649459520 is a wasteful number, since it uses less digits than its factorization.

1649459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1649459520 is about 40613.5386293783. The cubic root of 1649459520 is about 1181.5367128004.

The spelling of 1649459520 in words is "one billion, six hundred forty-nine million, four hundred fifty-nine thousand, five hundred twenty".