1649132460 has 120 divisors (see below), whose sum is σ = 5187542976. Its totient is φ = 438566400.

The previous prime is 1649132399. The next prime is 1649132461. The reversal of 1649132460 is 642319461.

1649132460 is a `hidden beast` number, since 1 + 64 + 9 + 132 + 460 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1649132461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 700285 + ... + 702635.

Almost surely, 2^1649132460 is an apocalyptic number.

1649132460 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 1649132460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593771488).

1649132460 is an abundant number, since it is smaller than the sum of its proper divisors (3538410516).

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

1649132460 is a wasteful number, since it uses less digits than its factorization.

1649132460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1649132460 is about 40609.5119399384. The cubic root of 1649132460 is about 1181.4586147049.

The spelling of 1649132460 in words is "one billion, six hundred forty-nine million, one hundred thirty-two thousand, four hundred sixty".