1648876500 has 288 divisors, whose sum is σ = 5542572672. Its totient is φ = 427680000.

The previous prime is 1648876483. The next prime is 1648876511. The reversal of 1648876500 is 56788461.

It is a happy number.

1648876500 is a `hidden beast` number, since 1 + 64 + 8 + 87 + 6 + 500 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4981335 + ... + 4981665.

It is an arithmetic number, because the mean of its divisors is an integer number (19245044).

Almost surely, 2^1648876500 is an apocalyptic number.

1648876500 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 1648876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771286336).

1648876500 is an abundant number, since it is smaller than the sum of its proper divisors (3893696172).

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

1648876500 is a wasteful number, since it uses less digits than its factorization.

1648876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1648876500 is about 40606.3603392375. The cubic root of 1648876500 is about 1181.3974872534.

The spelling of 1648876500 in words is "one billion, six hundred forty-eight million, eight hundred seventy-six thousand, five hundred".