436684680 has 96 divisors (see below), whose sum is σ = 1425691800. Its totient is φ = 115918848.

The previous prime is 436684673. The next prime is 436684681. The reversal of 436684680 is 86486634.

It can be written as a sum of positive squares in 4 ways, for example, as 436224996 + 459684 = 20886^2 + 678^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (436684681) 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, 79792 + ... + 85088.

Almost surely, 2^436684680 is an apocalyptic number.

436684680 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 436684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712845900).

436684680 is an abundant number, since it is smaller than the sum of its proper divisors (989007120).

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

436684680 is a wasteful number, since it uses less digits than its factorization.

436684680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 436684680 is about 20897.0016988084. The cubic root of 436684680 is about 758.6753703466.

The spelling of 436684680 in words is "four hundred thirty-six million, six hundred eighty-four thousand, six hundred eighty".