434102400 has 144 divisors (see below), whose sum is σ = 1549079610. Its totient is φ = 115752960.

The previous prime is 434102399. The next prime is 434102401. The reversal of 434102400 is 4201434.

It is an interprime number because it is at equal distance from previous prime (434102399) and next prime (434102401).

It can be written as a sum of positive squares in 3 ways, for example, as 317980224 + 116122176 = 17832^2 + 10776^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (434102401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21264 + ... + 36336.

Almost surely, 2^434102400 is an apocalyptic number.

434102400 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 434102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774539805).

434102400 is an abundant number, since it is smaller than the sum of its proper divisors (1114977210).

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

434102400 is a wasteful number, since it uses less digits than its factorization.

434102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15103 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 434102400 is about 20835.1241896947. The cubic root of 434102400 is about 757.1769690848.

Adding to 434102400 its reverse (4201434), we get a palindrome (438303834).

The spelling of 434102400 in words is "four hundred thirty-four million, one hundred two thousand, four hundred".