4648293000 has 1024 divisors, whose sum is σ = 19813248000. Its totient is φ = 995328000.

The previous prime is 4648292977. The next prime is 4648293007. The reversal of 4648293000 is 3928464.

It is a happy number.

4648293000 is a `hidden beast` number, since 4 + 648 + 2 + 9 + 3 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648293007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113372980 + ... + 113373020.

It is an arithmetic number, because the mean of its divisors is an integer number (19348875).

Almost surely, 2^4648293000 is an apocalyptic number.

4648293000 is a gapful number since it is divisible by the number (40) 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 4648293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

4648293000 is an abundant number, since it is smaller than the sum of its proper divisors (15164955000).

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

4648293000 is a wasteful number, since it uses less digits than its factorization.

4648293000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4648293000 is about 68178.3910047751. The cubic root of 4648293000 is about 1668.9032683363.

The spelling of 4648293000 in words is "four billion, six hundred forty-eight million, two hundred ninety-three thousand".