434406336 has 336 divisors, whose sum is σ = 1510247424. Its totient is φ = 107255808.

The previous prime is 434406331. The next prime is 434406361. The reversal of 434406336 is 633604434.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 434406297 and 434406306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434406331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9242665 + ... + 9242711.

It is an arithmetic number, because the mean of its divisors is an integer number (4494784).

Almost surely, 2^434406336 is an apocalyptic number.

434406336 is a gapful number since it is divisible by the number (46) 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 434406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755123712).

434406336 is an abundant number, since it is smaller than the sum of its proper divisors (1075841088).

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

434406336 is a wasteful number, since it uses less digits than its factorization.

434406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 434406336 is about 20842.4167504635. The cubic root of 434406336 is about 757.3536398818.

The spelling of 434406336 in words is "four hundred thirty-four million, four hundred six thousand, three hundred thirty-six".