4791000090 has 64 divisors (see below), whose sum is σ = 11880299520. Its totient is φ = 1235243520.

The previous prime is 4791000089. The next prime is 4791000091. The reversal of 4791000090 is 900001974.

It is an interprime number because it is at equal distance from previous prime (4791000089) and next prime (4791000091).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4791000091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539456 + ... + 1542564.

It is an arithmetic number, because the mean of its divisors is an integer number (185629680).

Almost surely, 2^4791000090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4791000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940149760).

4791000090 is an abundant number, since it is smaller than the sum of its proper divisors (7089299430).

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

4791000090 is a wasteful number, since it uses less digits than its factorization.

4791000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 4791000090 is about 69217.0505728177. The cubic root of 4791000090 is about 1685.8103907090.

The spelling of 4791000090 in words is "four billion, seven hundred ninety-one million, ninety", and thus it is an aban number.