634401100 has 72 divisors (see below), whose sum is σ = 1431002160. Its totient is φ = 243828480.

The previous prime is 634401073. The next prime is 634401101. The reversal of 634401100 is 1104436.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (634401101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820314 + ... + 821086.

It is an arithmetic number, because the mean of its divisors is an integer number (19875030).

Almost surely, 2^634401100 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 634401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715501080).

634401100 is an abundant number, since it is smaller than the sum of its proper divisors (796601060).

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

634401100 is a wasteful number, since it uses less digits than its factorization.

634401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 634401100 is about 25187.3202226835. The cubic root of 634401100 is about 859.2534985911.

Adding to 634401100 its reverse (1104436), we get a palindrome (635505536).

It can be divided in two parts, 634401 and 100, that added together give a triangular number (634501 = T₁₁₂₆).

The spelling of 634401100 in words is "six hundred thirty-four million, four hundred one thousand, one hundred".