445621680 has 360 divisors, whose sum is σ = 1845765792. Its totient is φ = 95735808.

The previous prime is 445621679. The next prime is 445621703. The reversal of 445621680 is 86126544.

445621680 is a `hidden beast` number, since 4 + 4 + 562 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599389 + ... + 600131.

Almost surely, 2^445621680 is an apocalyptic number.

445621680 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 445621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922882896).

445621680 is an abundant number, since it is smaller than the sum of its proper divisors (1400144112).

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

445621680 is a wasteful number, since it uses less digits than its factorization.

445621680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 445621680 is about 21109.7531960940. The cubic root of 445621680 is about 763.8160334812.

The spelling of 445621680 in words is "four hundred forty-five million, six hundred twenty-one thousand, six hundred eighty".