434361000 has 128 divisors (see below), whose sum is σ = 1376069760. Its totient is φ = 114048000.

The previous prime is 434360989. The next prime is 434361007. The reversal of 434361000 is 163434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434361007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199920 + ... + 202080.

It is an arithmetic number, because the mean of its divisors is an integer number (10750545).

Almost surely, 2^434361000 is an apocalyptic number.

434361000 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 434361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688034880).

434361000 is an abundant number, since it is smaller than the sum of its proper divisors (941708760).

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

434361000 is a wasteful number, since it uses less digits than its factorization.

434361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 434361000 is about 20841.3291322794. The cubic root of 434361000 is about 757.3272923693.

The spelling of 434361000 in words is "four hundred thirty-four million, three hundred sixty-one thousand".