445401440 has 96 divisors (see below), whose sum is σ = 1197939456. Its totient is φ = 154908160.

The previous prime is 445401431. The next prime is 445401487. The reversal of 445401440 is 44104544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34979 + ... + 45981.

It is an arithmetic number, because the mean of its divisors is an integer number (12478536).

Almost surely, 2^445401440 is an apocalyptic number.

445401440 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 445401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598969728).

445401440 is an abundant number, since it is smaller than the sum of its proper divisors (752538016).

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

445401440 is a wasteful number, since it uses less digits than its factorization.

445401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 445401440 is about 21104.5360053236. The cubic root of 445401440 is about 763.6901789189.

Adding to 445401440 its reverse (44104544), we get a palindrome (489505984).

The spelling of 445401440 in words is "four hundred forty-five million, four hundred one thousand, four hundred forty".