434656320 has 224 divisors, whose sum is σ = 1601150976. Its totient is φ = 97843200.

The previous prime is 434656267. The next prime is 434656337. The reversal of 434656320 is 23656434.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×434656320² = 377852233031884800, 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476665 + ... + 477575.

Almost surely, 2^434656320 is an apocalyptic number.

434656320 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 434656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800575488).

434656320 is an abundant number, since it is smaller than the sum of its proper divisors (1166494656).

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

434656320 is a wasteful number, since it uses less digits than its factorization.

434656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 434656320 is about 20848.4128892345. The cubic root of 434656320 is about 757.4988879070.

The spelling of 434656320 in words is "four hundred thirty-four million, six hundred fifty-six thousand, three hundred twenty".