634406300 has 72 divisors (see below), whose sum is σ = 1523152512. Its totient is φ = 227416000.

The previous prime is 634406249. The next prime is 634406303. The reversal of 634406300 is 3604436.

It is a self number, because there is not a number n which added to its sum of digits gives 634406300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634406303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74039 + ... + 82161.

It is an arithmetic number, because the mean of its divisors is an integer number (21154896).

Almost surely, 2^634406300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634406300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761576256).

634406300 is an abundant number, since it is smaller than the sum of its proper divisors (888746212).

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

634406300 is a wasteful number, since it uses less digits than its factorization.

634406300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 634406300 is about 25187.4234490152. The cubic root of 634406300 is about 859.2558462678.

The spelling of 634406300 in words is "six hundred thirty-four million, four hundred six thousand, three hundred".