445399979175 has 288 divisors, whose sum is σ = 905351428800. Its totient is φ = 216155381760.

The previous prime is 445399979149. The next prime is 445399979179. The reversal of 445399979175 is 571979993544.

445399979175 is a `hidden beast` number, since 4 + 4 + 539 + 9 + 9 + 79 + 17 + 5 = 666.

It is not a de Polignac number, because 445399979175 - 2⁶ = 445399979111 is a prime.

It is a super-2 number, since 2×445399979175² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445399979179) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 875048821 + ... + 875049329.

It is an arithmetic number, because the mean of its divisors is an integer number (3143581350).

Almost surely, 2^445399979175 is an apocalyptic number.

445399979175 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

445399979175 is an abundant number, since it is smaller than the sum of its proper divisors (459951449625).

445399979175 is a wasteful number, since it uses less digits than its factorization.

445399979175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 800 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 72.

The spelling of 445399979175 in words is "four hundred forty-five billion, three hundred ninety-nine million, nine hundred seventy-nine thousand, one hundred seventy-five".