434920200 has 384 divisors, whose sum is σ = 1638645120. Its totient is φ = 94003200.

The previous prime is 434920183. The next prime is 434920217. The reversal of 434920200 is 2029434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434920183) and next prime (434920217).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3174532 + ... + 3174668.

It is an arithmetic number, because the mean of its divisors is an integer number (4267305).

Almost surely, 2^434920200 is an apocalyptic number.

434920200 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 434920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819322560).

434920200 is an abundant number, since it is smaller than the sum of its proper divisors (1203724920).

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

434920200 is a wasteful number, since it uses less digits than its factorization.

434920200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 434920200 is about 20854.7404682964. The cubic root of 434920200 is about 757.6521495071.

Adding to 434920200 its reverse (2029434), we get a palindrome (436949634).

The spelling of 434920200 in words is "four hundred thirty-four million, nine hundred twenty thousand, two hundred".