445787496 has 256 divisors, whose sum is σ = 1578240000. Its totient is φ = 115577280.

The previous prime is 445787491. The next prime is 445787501. The reversal of 445787496 is 694787544.

It is an interprime number because it is at equal distance from previous prime (445787491) and next prime (445787501).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (445787491) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 814695 + ... + 815241.

It is an arithmetic number, because the mean of its divisors is an integer number (6165000).

Almost surely, 2^445787496 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 445787496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789120000).

445787496 is an abundant number, since it is smaller than the sum of its proper divisors (1132452504).

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

445787496 is a wasteful number, since it uses less digits than its factorization.

445787496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 570 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 445787496 is about 21113.6803044851. The cubic root of 445787496 is about 763.9107604803.

The spelling of 445787496 in words is "four hundred forty-five million, seven hundred eighty-seven thousand, four hundred ninety-six".