434349216 has 240 divisors, whose sum is σ = 1501670016. Its totient is φ = 120559104.

The previous prime is 434349191. The next prime is 434349217. The reversal of 434349216 is 612943434.

It is a happy number.

434349216 is a `hidden beast` number, since 4 + 3 + 434 + 9 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (434349217) 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 39 ways as a sum of consecutive naturals, for example, 671005 + ... + 671651.

Almost surely, 2^434349216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750835008).

434349216 is an abundant number, since it is smaller than the sum of its proper divisors (1067320800).

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

434349216 is a wasteful number, since it uses less digits than its factorization.

434349216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 434349216 is about 20841.0464228647. The cubic root of 434349216 is about 757.3204436685.

It can be divided in two parts, 43434 and 9216, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 434349216 in words is "four hundred thirty-four million, three hundred forty-nine thousand, two hundred sixteen".