1649652480 has 360 divisors, whose sum is σ = 6748977312. Its totient is φ = 376897536.

The previous prime is 1649652479. The next prime is 1649652497. The reversal of 1649652480 is 842569461.

1649652480 is a `hidden beast` number, since 1 + 6 + 49 + 6 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724624 + ... + 726896.

Almost surely, 2^1649652480 is an apocalyptic number.

1649652480 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 1649652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374488656).

1649652480 is an abundant number, since it is smaller than the sum of its proper divisors (5099324832).

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

1649652480 is an equidigital number, since it uses as much as digits as its factorization.

1649652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1649652480 is about 40615.9141224225. The cubic root of 1649652480 is about 1181.5827845452.

The spelling of 1649652480 in words is "one billion, six hundred forty-nine million, six hundred fifty-two thousand, four hundred eighty".