1648204800 has 264 divisors, whose sum is σ = 5945667072. Its totient is φ = 399360000.

The previous prime is 1648204793. The next prime is 1648204801. The reversal of 1648204800 is 84028461.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648204801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843825 + ... + 845775.

Almost surely, 2^1648204800 is an apocalyptic number.

1648204800 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 1648204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972833536).

1648204800 is an abundant number, since it is smaller than the sum of its proper divisors (4297462272).

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

1648204800 is a wasteful number, since it uses less digits than its factorization.

1648204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1648204800 is about 40598.0886249587. The cubic root of 1648204800 is about 1181.2370441736.

The spelling of 1648204800 in words is "one billion, six hundred forty-eight million, two hundred four thousand, eight hundred".