1649380800 has 504 divisors, whose sum is σ = 6091641360. Its totient is φ = 389939200.

The previous prime is 1649380793. The next prime is 1649380819. The reversal of 1649380800 is 80839461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40228780 + ... + 40228820.

It is an arithmetic number, because the mean of its divisors is an integer number (12086590).

Almost surely, 2^1649380800 is an apocalyptic number.

1649380800 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 1649380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045820680).

1649380800 is an abundant number, since it is smaller than the sum of its proper divisors (4442260560).

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

1649380800 is a wasteful number, since it uses less digits than its factorization.

1649380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1649380800 is about 40612.5694828584. The cubic root of 1649380800 is about 1181.5179163303.

The spelling of 1649380800 in words is "one billion, six hundred forty-nine million, three hundred eighty thousand, eight hundred".