434141400 has 192 divisors, whose sum is σ = 1678106880. Its totient is φ = 90201600.

The previous prime is 434141381. The next prime is 434141417. The reversal of 434141400 is 4141434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41502 + ... + 50898.

It is an arithmetic number, because the mean of its divisors is an integer number (8740140).

Almost surely, 2^434141400 is an apocalyptic number.

434141400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839053440).

434141400 is an abundant number, since it is smaller than the sum of its proper divisors (1243965480).

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

434141400 is a wasteful number, since it uses less digits than its factorization.

434141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 434141400 is about 20836.0600882221. The cubic root of 434141400 is about 757.1996434718.

Adding to 434141400 its reverse (4141434), we get a palindrome (438282834).

The spelling of 434141400 in words is "four hundred thirty-four million, one hundred forty-one thousand, four hundred".