441713007 has 48 divisors (see below), whose sum is σ = 720720000. Its totient is φ = 269275104.

The previous prime is 441712991. The next prime is 441713009. The reversal of 441713007 is 700317144.

It is not a de Polignac number, because 441713007 - 2⁴ = 441712991 is a prime.

It is a super-2 number, since 2×441713007² = 390220761105964098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441713009) 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 47 ways as a sum of consecutive naturals, for example, 132244 + ... + 135542.

It is an arithmetic number, because the mean of its divisors is an integer number (15015000).

Almost surely, 2^441713007 is an apocalyptic number.

441713007 is a deficient number, since it is larger than the sum of its proper divisors (279006993).

441713007 is a wasteful number, since it uses less digits than its factorization.

441713007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 441713007 is about 21016.9695008581. The cubic root of 441713007 is about 761.5762570561.

It can be divided in two parts, 4417 and 13007, that added together give a square (17424 = 132²).

The spelling of 441713007 in words is "four hundred forty-one million, seven hundred thirteen thousand, seven".