445147164 has 180 divisors, whose sum is σ = 1477337400. Its totient is φ = 115577280.

The previous prime is 445147139. The next prime is 445147169. The reversal of 445147164 is 461741544.

It is a happy number.

445147164 is a `hidden beast` number, since 4 + 451 + 47 + 164 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445147169) 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 59 ways as a sum of consecutive naturals, for example, 173362 + ... + 175910.

It is an arithmetic number, because the mean of its divisors is an integer number (8207430).

Almost surely, 2^445147164 is an apocalyptic number.

445147164 is a gapful number since it is divisible by the number (44) 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 445147164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738668700).

445147164 is an abundant number, since it is smaller than the sum of its proper divisors (1032190236).

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

445147164 is a wasteful number, since it uses less digits than its factorization.

445147164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2572 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 445147164 is about 21098.5109427182. The cubic root of 445147164 is about 763.5448231180.

It can be divided in two parts, 4451 and 47164, that added together give a palindrome (51615).

The spelling of 445147164 in words is "four hundred forty-five million, one hundred forty-seven thousand, one hundred sixty-four".