434252016 has 200 divisors, whose sum is σ = 1391410944. Its totient is φ = 129651840.

The previous prime is 434252009. The next prime is 434252047. The reversal of 434252016 is 610252434.

434252016 is a `hidden beast` number, since 434 + 25 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 1183065 + ... + 1183431.

Almost surely, 2^434252016 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 434252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695705472).

434252016 is an abundant number, since it is smaller than the sum of its proper divisors (957158928).

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

434252016 is a wasteful number, since it uses less digits than its factorization.

434252016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 434252016 is about 20838.7143557370. The cubic root of 434252016 is about 757.2639476233.

The spelling of 434252016 in words is "four hundred thirty-four million, two hundred fifty-two thousand, sixteen".