434061264 has 160 divisors (see below), whose sum is σ = 1412798464. Its totient is φ = 111767040.

The previous prime is 434061263. The next prime is 434061317. The reversal of 434061264 is 462160434.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434061263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186669 + ... + 188979.

Almost surely, 2^434061264 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 434061264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706399232).

434061264 is an abundant number, since it is smaller than the sum of its proper divisors (978737200).

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

434061264 is a wasteful number, since it uses less digits than its factorization.

434061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 434061264 is about 20834.1369871660. The cubic root of 434061264 is about 757.1530513673.

The spelling of 434061264 in words is "four hundred thirty-four million, sixty-one thousand, two hundred sixty-four".