634490304 has 224 divisors, whose sum is σ = 2020945920. Its totient is φ = 171859968.

The previous prime is 634490287. The next prime is 634490309. The reversal of 634490304 is 403094436.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634490309) 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 31 ways as a sum of consecutive naturals, for example, 2845137 + ... + 2845359.

It is an arithmetic number, because the mean of its divisors is an integer number (9022080).

Almost surely, 2^634490304 is an apocalyptic number.

634490304 is a gapful number since it is divisible by the number (64) 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 634490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010472960).

634490304 is an abundant number, since it is smaller than the sum of its proper divisors (1386455616).

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

634490304 is a wasteful number, since it uses less digits than its factorization.

634490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 634490304 is about 25189.0909720855. The cubic root of 634490304 is about 859.2937703040.

The spelling of 634490304 in words is "six hundred thirty-four million, four hundred ninety thousand, three hundred four".