434263680 has 160 divisors (see below), whose sum is σ = 1551019140. Its totient is φ = 115789824.

The previous prime is 434263637. The next prime is 434263693. The reversal of 434263680 is 86362434.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 30735936 = 20088^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47652 + ... + 56028.

Almost surely, 2^434263680 is an apocalyptic number.

434263680 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 434263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775509570).

434263680 is an abundant number, since it is smaller than the sum of its proper divisors (1116755460).

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

434263680 is an equidigital number, since it uses as much as digits as its factorization.

434263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 434263680 is about 20838.9942175720. The cubic root of 434263680 is about 757.2707275938.

The spelling of 434263680 in words is "four hundred thirty-four million, two hundred sixty-three thousand, six hundred eighty".