434400100 has 36 divisors (see below), whose sum is σ = 953259300. Its totient is φ = 171804160.

The previous prime is 434400079. The next prime is 434400119. The reversal of 434400100 is 1004434.

It can be written as a sum of positive squares in 6 ways, for example, as 61214976 + 373185124 = 7824^2 + 19318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15505 + ... + 33304.

It is an arithmetic number, because the mean of its divisors is an integer number (26479425).

Almost surely, 2^434400100 is an apocalyptic number.

It is an amenable number.

434400100 is an abundant number, since it is smaller than the sum of its proper divisors (518859200).

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

434400100 is a wasteful number, since it uses less digits than its factorization.

434400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48912 (or 48905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 434400100 is about 20842.2671511522. The cubic root of 434400100 is about 757.3500158709.

Adding to 434400100 its reverse (1004434), we get a palindrome (435404534).

The spelling of 434400100 in words is "four hundred thirty-four million, four hundred thousand, one hundred".