434638080 has 216 divisors, whose sum is σ = 1556853480. Its totient is φ = 111820800.

The previous prime is 434638067. The next prime is 434638081. The reversal of 434638080 is 80836434.

434638080 is a `hidden beast` number, since 43 + 463 + 80 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 433972224 = 816^2 + 20832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434638081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333430 + ... + 334730.

It is an arithmetic number, because the mean of its divisors is an integer number (7207655).

Almost surely, 2^434638080 is an apocalyptic number.

434638080 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 434638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778426740).

434638080 is an abundant number, since it is smaller than the sum of its proper divisors (1122215400).

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

434638080 is a wasteful number, since it uses less digits than its factorization.

434638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 434638080 is about 20847.9754412749. The cubic root of 434638080 is about 757.4882918166.

The spelling of 434638080 in words is "four hundred thirty-four million, six hundred thirty-eight thousand, eighty".