436141472 has 48 divisors (see below), whose sum is σ = 926555112. Its totient is φ = 200893440.

The previous prime is 436141471. The next prime is 436141481. The reversal of 436141472 is 274141634.

It can be written as a sum of positive squares in 4 ways, for example, as 286421776 + 149719696 = 16924^2 + 12236^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is not an unprimeable number, because it can be changed into a prime (436141471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340898 + ... + 342174.

Almost surely, 2^436141472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463277556).

436141472 is an abundant number, since it is smaller than the sum of its proper divisors (490413640).

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

436141472 is a wasteful number, since it uses less digits than its factorization.

436141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2113 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 436141472 is about 20884.0003830684. Note that the first 3 decimals coincide. The cubic root of 436141472 is about 758.3606584956.

The spelling of 436141472 in words is "four hundred thirty-six million, one hundred forty-one thousand, four hundred seventy-two".