436949634 has 72 divisors (see below), whose sum is σ = 986615280. Its totient is φ = 128876000.

The previous prime is 436949627. The next prime is 436949659.

436949634 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (1679616) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4326184 + ... + 4326284.

It is an arithmetic number, because the mean of its divisors is an integer number (13702990).

Almost surely, 2^436949634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436949634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493307640).

436949634 is an abundant number, since it is smaller than the sum of its proper divisors (549665646).

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

436949634 is a wasteful number, since it uses less digits than its factorization.

436949634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 176 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The square root of 436949634 is about 20903.3402593940. The cubic root of 436949634 is about 758.8287788528.

The spelling of 436949634 in words is "four hundred thirty-six million, nine hundred forty-nine thousand, six hundred thirty-four".