434895000 has 160 divisors (see below), whose sum is σ = 1379558400. Its totient is φ = 114192000.

The previous prime is 434894987. The next prime is 434895011. The reversal of 434895000 is 598434.

It is a super-2 number, since 2×434895000² = 378267322050000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1184817 + ... + 1185183.

It is an arithmetic number, because the mean of its divisors is an integer number (8622240).

Almost surely, 2^434895000 is an apocalyptic number.

434895000 is a gapful number since it is divisible by the number (40) 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 434895000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689779200).

434895000 is an abundant number, since it is smaller than the sum of its proper divisors (944663400).

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

434895000 is a wasteful number, since it uses less digits than its factorization.

434895000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 434895000 is about 20854.1362803641. The cubic root of 434895000 is about 757.6375160157.

The spelling of 434895000 in words is "four hundred thirty-four million, eight hundred ninety-five thousand".