434464360 has 64 divisors (see below), whose sum is σ = 1095275520. Its totient is φ = 153711360.

The previous prime is 434464357. The next prime is 434464369. The reversal of 434464360 is 63464434.

It is a super-2 number, since 2×434464360² = 377518560220419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434464369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 29623.

It is an arithmetic number, because the mean of its divisors is an integer number (17113680).

Almost surely, 2^434464360 is an apocalyptic number.

434464360 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 434464360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547637760).

434464360 is an abundant number, since it is smaller than the sum of its proper divisors (660811160).

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

434464360 is a wasteful number, since it uses less digits than its factorization.

434464360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26746 (or 26742 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 434464360 is about 20843.8086730808. The cubic root of 434464360 is about 757.3873584900.

The spelling of 434464360 in words is "four hundred thirty-four million, four hundred sixty-four thousand, three hundred sixty".