435631680576 has 315 divisors, whose sum is σ = 1318824261381. Its totient is φ = 142185010176.

The previous prime is 435631680557. The next prime is 435631680577. The reversal of 435631680576 is 675086136534.

The square root of 435631680576 is 660024.

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

435631680576 is a `hidden beast` number, since 4 + 3 + 5 + 6 + 3 + 1 + 68 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83650522176 + 351981158400 = 289224^2 + 593280^2 .

It is a super-2 number, since 2×435631680576² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (435631680577) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4229433741 + ... + 4229433843.

Almost surely, 2^435631680576 is an apocalyptic number.

435631680576 is the 660024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435631680576

435631680576 is an abundant number, since it is smaller than the sum of its proper divisors (883192580805).

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

435631680576 is an frugal number, since it uses more digits than its factorization.

435631680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 435631680576 in words is "four hundred thirty-five billion, six hundred thirty-one million, six hundred eighty thousand, five hundred seventy-six".