445099968 has 112 divisors (see below), whose sum is σ = 1316736000. Its totient is φ = 147435264.

The previous prime is 445099951. The next prime is 445099969. The reversal of 445099968 is 869990544.

445099968 is a `hidden beast` number, since 44 + 509 + 9 + 96 + 8 = 666.

It is a super-2 number, since 2×445099968² = 396227963027202048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445099969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308593 + ... + 310031.

Almost surely, 2^445099968 is an apocalyptic number.

445099968 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 445099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658368000).

445099968 is an abundant number, since it is smaller than the sum of its proper divisors (871636032).

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

445099968 is a wasteful number, since it uses less digits than its factorization.

445099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 445099968 is about 21097.3924455133. The cubic root of 445099968 is about 763.5178376339.

The spelling of 445099968 in words is "four hundred forty-five million, ninety-nine thousand, nine hundred sixty-eight".