440377361 has 8 divisors (see below), whose sum is σ = 448364904. Its totient is φ = 432414720.

The previous prime is 440377339. The next prime is 440377373. The reversal of 440377361 is 163773044.

It can be written as a sum of positive squares in 4 ways, for example, as 12673600 + 427703761 = 3560^2 + 20681^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 440377361 - 2¹⁸ = 440115217 is a prime.

It is a super-4 number, since 4×440377361⁴ (a number of 36 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (440377261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31505 + ... + 43281.

It is an arithmetic number, because the mean of its divisors is an integer number (56045613).

Almost surely, 2^440377361 is an apocalyptic number.

It is an amenable number.

440377361 is a deficient number, since it is larger than the sum of its proper divisors (7987543).

440377361 is a wasteful number, since it uses less digits than its factorization.

440377361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451.

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 440377361 is about 20985.1700255204. The cubic root of 440377361 is about 760.8078672852.

The spelling of 440377361 in words is "four hundred forty million, three hundred seventy-seven thousand, three hundred sixty-one".