434400320 has 112 divisors (see below), whose sum is σ = 1119225600. Its totient is φ = 159965184.

The previous prime is 434400311. The next prime is 434400353. The reversal of 434400320 is 23004434.

It is a happy number.

It is a super-2 number, since 2×434400320² = 377407276032204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 434400292 and 434400301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254831 + ... + 256529.

Almost surely, 2^434400320 is an apocalyptic number.

434400320 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 434400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559612800).

434400320 is an abundant number, since it is smaller than the sum of its proper divisors (684825280).

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

434400320 is a wasteful number, since it uses less digits than its factorization.

434400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 434400320 is about 20842.2724288884. The cubic root of 434400320 is about 757.3501437230.

Adding to 434400320 its reverse (23004434), we get a palindrome (457404754).

The spelling of 434400320 in words is "four hundred thirty-four million, four hundred thousand, three hundred twenty".