434121400 has 24 divisors (see below), whose sum is σ = 1009332720. Its totient is φ = 173648480.

The previous prime is 434121319. The next prime is 434121403. The reversal of 434121400 is 4121434.

It is a super-2 number, since 2×434121400² = 376922779875920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434121403) 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 5 ways as a sum of consecutive naturals, for example, 1085104 + ... + 1085503.

It is an arithmetic number, because the mean of its divisors is an integer number (42055530).

Almost surely, 2^434121400 is an apocalyptic number.

434121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434121400 is an abundant number, since it is smaller than the sum of its proper divisors (575211320).

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

434121400 is a wasteful number, since it uses less digits than its factorization.

434121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170623 (or 2170614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 434121400 is about 20835.5801455107. The cubic root of 434121400 is about 757.1880157506.

Adding to 434121400 its reverse (4121434), we get a palindrome (438242834).

The spelling of 434121400 in words is "four hundred thirty-four million, one hundred twenty-one thousand, four hundred".