8291900484 has 144 divisors (see below), whose sum is σ = 25427001600. Its totient is φ = 2224171008.

The previous prime is 8291900473. The next prime is 8291900531. The reversal of 8291900484 is 4840091928.

8291900484 is a `hidden beast` number, since 82 + 9 + 1 + 90 + 0 + 484 = 666.

It is a super-2 number, since 2×8291900484² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1878472 + ... + 1882880.

It is an arithmetic number, because the mean of its divisors is an integer number (176576400).

Almost surely, 2^8291900484 is an apocalyptic number.

8291900484 is a gapful number since it is divisible by the number (84) 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 8291900484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713500800).

8291900484 is an abundant number, since it is smaller than the sum of its proper divisors (17135101116).

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

8291900484 is a wasteful number, since it uses less digits than its factorization.

8291900484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8291900484 is about 91059.8730726109. The cubic root of 8291900484 is about 2024.0350416660.

The spelling of 8291900484 in words is "eight billion, two hundred ninety-one million, nine hundred thousand, four hundred eighty-four".