436141456 has 45 divisors (see below), whose sum is σ = 887270251. Its totient is φ = 207670496.

The previous prime is 436141441. The next prime is 436141457. The reversal of 436141456 is 654141634.

The square root of 436141456 is 20884.

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

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (436141457) 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 8 ways as a sum of consecutive naturals, for example, 1921215 + ... + 1921441.

Almost surely, 2^436141456 is an apocalyptic number.

436141456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

436141456 is the 20884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436141456

436141456 is an abundant number, since it is smaller than the sum of its proper divisors (451128795).

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

436141456 is an equidigital number, since it uses as much as digits as its factorization.

436141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 252 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The cubic root of 436141456 is about 758.3606492220.

The spelling of 436141456 in words is "four hundred thirty-six million, one hundred forty-one thousand, four hundred fifty-six".