434295864 has 128 divisors (see below), whose sum is σ = 1262592000. Its totient is φ = 138153600.

The previous prime is 434295847. The next prime is 434295871. The reversal of 434295864 is 468592434.

434295864 is a `hidden beast` number, since 43 + 4 + 29 + 586 + 4 = 666.

It is a super-2 number, since 2×434295864² = 377225794975012992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528574 + ... + 529394.

It is an arithmetic number, because the mean of its divisors is an integer number (9864000).

Almost surely, 2^434295864 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 434295864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631296000).

434295864 is an abundant number, since it is smaller than the sum of its proper divisors (828296136).

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

434295864 is a wasteful number, since it uses less digits than its factorization.

434295864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 434295864 is about 20839.7664094394. The cubic root of 434295864 is about 757.2894346607.

The spelling of 434295864 in words is "four hundred thirty-four million, two hundred ninety-five thousand, eight hundred sixty-four".