435664680 has 256 divisors, whose sum is σ = 1555200000. Its totient is φ = 96445440.

The previous prime is 435664639. The next prime is 435664681. The reversal of 435664680 is 86466534.

It is not an unprimeable number, because it can be changed into a prime (435664681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727021 + ... + 727619.

It is an arithmetic number, because the mean of its divisors is an integer number (6075000).

Almost surely, 2^435664680 is an apocalyptic number.

435664680 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 435664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600000).

435664680 is an abundant number, since it is smaller than the sum of its proper divisors (1119535320).

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

435664680 is a wasteful number, since it uses less digits than its factorization.

435664680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 435664680 is about 20872.5820156491. The cubic root of 435664680 is about 758.0842098668.

The spelling of 435664680 in words is "four hundred thirty-five million, six hundred sixty-four thousand, six hundred eighty".