4948290000 has 500 divisors, whose sum is σ = 18456045300. Its totient is φ = 1278720000.

The previous prime is 4948289999. The next prime is 4948290019. The reversal of 4948290000 is 928494.

It is a happy number.

4948290000 is a `hidden beast` number, since 494 + 82 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 4948278336 + 11664 = 70344^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (500).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 33209926 + ... + 33210074.

Almost surely, 2^4948290000 is an apocalyptic number.

4948290000 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 4948290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228022650).

4948290000 is an abundant number, since it is smaller than the sum of its proper divisors (13507755300).

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

4948290000 is a wasteful number, since it uses less digits than its factorization.

4948290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4948290000 is about 70344.0829068089. The cubic root of 4948290000 is about 1704.0606504895.

The spelling of 4948290000 in words is "four billion, nine hundred forty-eight million, two hundred ninety thousand".