434132608 has 192 divisors, whose sum is σ = 1111000320. Its totient is φ = 165335040.

The previous prime is 434132603. The next prime is 434132627. The reversal of 434132608 is 806231434.

It is a super-2 number, since 2×434132608² = 376942242657763328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 434132608.

It is not an unprimeable number, because it can be changed into a prime (434132603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7116898 + ... + 7116958.

It is an arithmetic number, because the mean of its divisors is an integer number (5786460).

Almost surely, 2^434132608 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 434132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555500160).

434132608 is an abundant number, since it is smaller than the sum of its proper divisors (676867712).

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

434132608 is a wasteful number, since it uses less digits than its factorization.

434132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 434132608 is about 20835.8491067679. The cubic root of 434132608 is about 757.1945319696.

The spelling of 434132608 in words is "four hundred thirty-four million, one hundred thirty-two thousand, six hundred eight".