445382952 has 192 divisors, whose sum is σ = 1409587200. Its totient is φ = 116484480.

The previous prime is 445382947. The next prime is 445382963. The reversal of 445382952 is 259283544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692343 + ... + 692985.

It is an arithmetic number, because the mean of its divisors is an integer number (7341600).

Almost surely, 2^445382952 is an apocalyptic number.

445382952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445382952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704793600).

445382952 is an abundant number, since it is smaller than the sum of its proper divisors (964204248).

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

445382952 is a wasteful number, since it uses less digits than its factorization.

445382952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 445382952 is about 21104.0979906747. The cubic root of 445382952 is about 763.6796121970.

The spelling of 445382952 in words is "four hundred forty-five million, three hundred eighty-two thousand, nine hundred fifty-two".