434476085904 has 675 divisors, whose sum is σ = 1522891832163. Its totient is φ = 115609286016.

The previous prime is 434476085899. The next prime is 434476085909. The reversal of 434476085904 is 409580674434.

The square root of 434476085904 is 659148.

It is a perfect power (a square), and thus also a powerful number.

434476085904 is a `hidden beast` number, since 4 + 3 + 4 + 47 + 6 + 0 + 8 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (434476085899) and next prime (434476085909).

It is not an unprimeable number, because it can be changed into a prime (434476085909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7364001427 + ... + 7364001485.

Almost surely, 2^434476085904 is an apocalyptic number.

434476085904 is the 659148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434476085904

434476085904 is an abundant number, since it is smaller than the sum of its proper divisors (1088415746259).

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

434476085904 is an equidigital number, since it uses as much as digits as its factorization.

434476085904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 434476085904 in words is "four hundred thirty-four billion, four hundred seventy-six million, eighty-five thousand, nine hundred four".