445117680 has 240 divisors, whose sum is σ = 1772219904. Its totient is φ = 101710080.

The previous prime is 445117667. The next prime is 445117711. The reversal of 445117680 is 86711544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 134445 + ... + 137715.

Almost surely, 2^445117680 is an apocalyptic number.

445117680 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 445117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886109952).

445117680 is an abundant number, since it is smaller than the sum of its proper divisors (1327102224).

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

445117680 is a wasteful number, since it uses less digits than its factorization.

445117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 445117680 is about 21097.8122088524. The cubic root of 445117680 is about 763.5279651330.

The spelling of 445117680 in words is "four hundred forty-five million, one hundred seventeen thousand, six hundred eighty".