445668720 has 120 divisors (see below), whose sum is σ = 1607178384. Its totient is φ = 101864448.

The previous prime is 445668689. The next prime is 445668721. The reversal of 445668720 is 27866544.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×445668720³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445668721) 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 23 ways as a sum of consecutive naturals, for example, 7189 + ... + 30708.

Almost surely, 2^445668720 is an apocalyptic number.

445668720 is a gapful number since it is divisible by the number (40) 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 445668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803589192).

445668720 is an abundant number, since it is smaller than the sum of its proper divisors (1161509664).

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

445668720 is a wasteful number, since it uses less digits than its factorization.

445668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37927 (or 37914 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 445668720 is about 21110.8673436219. The cubic root of 445668720 is about 763.8429087760.

The spelling of 445668720 in words is "four hundred forty-five million, six hundred sixty-eight thousand, seven hundred twenty".