634464000 has 216 divisors, whose sum is σ = 2284022832. Its totient is φ = 169113600.

The previous prime is 634463969. The next prime is 634464013. The reversal of 634464000 is 464436.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286899 + ... + 289101.

Almost surely, 2^634464000 is an apocalyptic number.

634464000 is a gapful number since it is divisible by the number (60) 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 634464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142011416).

634464000 is an abundant number, since it is smaller than the sum of its proper divisors (1649558832).

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

634464000 is a wasteful number, since it uses less digits than its factorization.

634464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 634464000 is about 25188.5688358827. The cubic root of 634464000 is about 859.2818955884.

The spelling of 634464000 in words is "six hundred thirty-four million, four hundred sixty-four thousand".