445179840 has 224 divisors, whose sum is σ = 1668255744. Its totient is φ = 98426880.

The previous prime is 445179811. The next prime is 445179853. The reversal of 445179840 is 48971544.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 445179792 and 445179801.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 207252 + ... + 209388.

Almost surely, 2^445179840 is an apocalyptic number.

445179840 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 445179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834127872).

445179840 is an abundant number, since it is smaller than the sum of its proper divisors (1223075904).

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

445179840 is a wasteful number, since it uses less digits than its factorization.

445179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 445179840 is about 21099.2852959526. The cubic root of 445179840 is about 763.5635053143.

The spelling of 445179840 in words is "four hundred forty-five million, one hundred seventy-nine thousand, eight hundred forty".