634408320 has 256 divisors, whose sum is σ = 2489518080. Its totient is φ = 133816320.

The previous prime is 634408289. The next prime is 634408331. The reversal of 634408320 is 23804436.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 172905 + ... + 176535.

It is an arithmetic number, because the mean of its divisors is an integer number (9724680).

Almost surely, 2^634408320 is an apocalyptic number.

634408320 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 634408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244759040).

634408320 is an abundant number, since it is smaller than the sum of its proper divisors (1855109760).

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

634408320 is a wasteful number, since it uses less digits than its factorization.

634408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 634408320 is about 25187.4635483607. The cubic root of 634408320 is about 859.2567582464.

The spelling of 634408320 in words is "six hundred thirty-four million, four hundred eight thousand, three hundred twenty".