445116440 has 64 divisors (see below), whose sum is σ = 1063056960. Its totient is φ = 167157760.

The previous prime is 445116437. The next prime is 445116487. The reversal of 445116440 is 44611544.

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 15 ways as a sum of consecutive naturals, for example, 504800 + ... + 505680.

It is an arithmetic number, because the mean of its divisors is an integer number (16610265).

Almost surely, 2^445116440 is an apocalyptic number.

445116440 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 445116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531528480).

445116440 is an abundant number, since it is smaller than the sum of its proper divisors (617940520).

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

445116440 is a wasteful number, since it uses less digits than its factorization.

445116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 445116440 is about 21097.7828218986. The cubic root of 445116440 is about 763.5272561253.

Adding to 445116440 its reverse (44611544), we get a palindrome (489727984).

The spelling of 445116440 in words is "four hundred forty-five million, one hundred sixteen thousand, four hundred forty".