4801290000 has 300 divisors, whose sum is σ = 16800884496. Its totient is φ = 1180608000.

The previous prime is 4801289993. The next prime is 4801290007. The reversal of 4801290000 is 921084.

It is an interprime number because it is at equal distance from previous prime (4801289993) and next prime (4801290007).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4801290007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5069527 + ... + 5070473.

Almost surely, 2^4801290000 is an apocalyptic number.

4801290000 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 4801290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400442248).

4801290000 is an abundant number, since it is smaller than the sum of its proper divisors (11999594496).

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

4801290000 is a wasteful number, since it uses less digits than its factorization.

4801290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4801290000 is about 69291.3414504294. The cubic root of 4801290000 is about 1687.0164320873.

The spelling of 4801290000 in words is "four billion, eight hundred one million, two hundred ninety thousand".