634450752 has 224 divisors, whose sum is σ = 2045980160. Its totient is φ = 191600640.

The previous prime is 634450723. The next prime is 634450753. The reversal of 634450752 is 257054436.

634450752 is a `hidden beast` number, since 63 + 44 + 507 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634450753) 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, 1370073 + ... + 1370535.

It is an arithmetic number, because the mean of its divisors is an integer number (9133840).

Almost surely, 2^634450752 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 634450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022990080).

634450752 is an abundant number, since it is smaller than the sum of its proper divisors (1411529408).

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

634450752 is a wasteful number, since it uses less digits than its factorization.

634450752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 634450752 is about 25188.3058580763. The cubic root of 634450752 is about 859.2759147679.

The spelling of 634450752 in words is "six hundred thirty-four million, four hundred fifty thousand, seven hundred fifty-two".