445387664 has 80 divisors (see below), whose sum is σ = 946606080. Its totient is φ = 202227840.

The previous prime is 445387661. The next prime is 445387667. The reversal of 445387664 is 466783544.

It is an interprime number because it is at equal distance from previous prime (445387661) and next prime (445387667).

It is not an unprimeable number, because it can be changed into a prime (445387661) by changing a digit.

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, 1573667 + ... + 1573949.

It is an arithmetic number, because the mean of its divisors is an integer number (11832576).

Almost surely, 2^445387664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445387664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473303040).

445387664 is an abundant number, since it is smaller than the sum of its proper divisors (501218416).

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

445387664 is a wasteful number, since it uses less digits than its factorization.

445387664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 47.

The square root of 445387664 is about 21104.2096274653. The cubic root of 445387664 is about 763.6823053443.

The spelling of 445387664 in words is "four hundred forty-five million, three hundred eighty-seven thousand, six hundred sixty-four".