445578952 has 64 divisors (see below), whose sum is σ = 1049328000. Its totient is φ = 176258880.

The previous prime is 445578949. The next prime is 445578967. The reversal of 445578952 is 259875544.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 445578896 and 445578905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29427 + ... + 41917.

It is an arithmetic number, because the mean of its divisors is an integer number (16395750).

Almost surely, 2^445578952 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 445578952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524664000).

445578952 is an abundant number, since it is smaller than the sum of its proper divisors (603749048).

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

445578952 is a wasteful number, since it uses less digits than its factorization.

445578952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12513 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 49.

The square root of 445578952 is about 21108.7411277887. The cubic root of 445578952 is about 763.7916201158.

The spelling of 445578952 in words is "four hundred forty-five million, five hundred seventy-eight thousand, nine hundred fifty-two".