445225536 has 168 divisors, whose sum is σ = 1522195584. Its totient is φ = 121651200.

The previous prime is 445225531. The next prime is 445225541. The reversal of 445225536 is 635522544.

It is an interprime number because it is at equal distance from previous prime (445225531) and next prime (445225541).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 445225536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445225531) 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 23 ways as a sum of consecutive naturals, for example, 90336 + ... + 95136.

It is an arithmetic number, because the mean of its divisors is an integer number (9060688).

Almost surely, 2^445225536 is an apocalyptic number.

445225536 is a gapful number since it is divisible by the number (46) 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 445225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761097792).

445225536 is an abundant number, since it is smaller than the sum of its proper divisors (1076970048).

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

445225536 is a wasteful number, since it uses less digits than its factorization.

445225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4836 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 445225536 is about 21100.3681484471. The cubic root of 445225536 is about 763.5896300405.

The spelling of 445225536 in words is "four hundred forty-five million, two hundred twenty-five thousand, five hundred thirty-six".