634032400 has 45 divisors (see below), whose sum is σ = 1524473701. Its totient is φ = 253411520.

The previous prime is 634032361. The next prime is 634032401. The reversal of 634032400 is 4230436.

The square root of 634032400 is 25180.

It is a perfect power (a square), and thus also a powerful number.

634032400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 228251664 + 405780736 = 15108^2 + 20144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634032401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 502971 + ... + 504229.

Almost surely, 2^634032400 is an apocalyptic number.

634032400 is the 25180-th square number.

It is an amenable number.

634032400 is an abundant number, since it is smaller than the sum of its proper divisors (890441301).

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

634032400 is an equidigital number, since it uses as much as digits as its factorization.

634032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The cubic root of 634032400 is about 859.0870065729.

Adding to 634032400 its reverse (4230436), we get a palindrome (638262836).

The spelling of 634032400 in words is "six hundred thirty-four million, thirty-two thousand, four hundred".