9482634000 has 960 divisors, whose sum is σ = 42368002560. Its totient is φ = 1924300800.

The previous prime is 9482633977. The next prime is 9482634043. The reversal of 9482634000 is 4362849.

It is a happy number.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 40697884 + ... + 40698116.

It is an arithmetic number, because the mean of its divisors is an integer number (44133336).

Almost surely, 2^9482634000 is an apocalyptic number.

9482634000 is a gapful number since it is divisible by the number (90) 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 9482634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21184001280).

9482634000 is an abundant number, since it is smaller than the sum of its proper divisors (32885368560).

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

9482634000 is a wasteful number, since it uses less digits than its factorization.

9482634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

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

The square root of 9482634000 is about 97378.8169983596. The cubic root of 9482634000 is about 2116.6204907225.

Adding to 9482634000 its reverse (4362849), we get a palindrome (9486996849).

The spelling of 9482634000 in words is "nine billion, four hundred eighty-two million, six hundred thirty-four thousand".