445363968 has 144 divisors (see below), whose sum is σ = 1391882240. Its totient is φ = 123752448.

The previous prime is 445363951. The next prime is 445363969. The reversal of 445363968 is 869363544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445363969) 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 15 ways as a sum of consecutive naturals, for example, 197793 + ... + 200031.

Almost surely, 2^445363968 is an apocalyptic number.

445363968 is a gapful number since it is divisible by the number (48) 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 445363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695941120).

445363968 is an abundant number, since it is smaller than the sum of its proper divisors (946518272).

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

445363968 is a wasteful number, since it uses less digits than its factorization.

445363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2288 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 445363968 is about 21103.6482154153. The cubic root of 445363968 is about 763.6687616846.

The spelling of 445363968 in words is "four hundred forty-five million, three hundred sixty-three thousand, nine hundred sixty-eight".