445641600 has 192 divisors, whose sum is σ = 1493855280. Its totient is φ = 116736000.

The previous prime is 445641529. The next prime is 445641611. The reversal of 445641600 is 6146544.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585220 + ... + 585980.

Almost surely, 2^445641600 is an apocalyptic number.

445641600 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 445641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746927640).

445641600 is an abundant number, since it is smaller than the sum of its proper divisors (1048213680).

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

445641600 is a wasteful number, since it uses less digits than its factorization.

445641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 445641600 is about 21110.2250106435. The cubic root of 445641600 is about 763.8274145767.

It can be divided in two parts, 44564 and 1600, that added together give a palindrome (46164).

The spelling of 445641600 in words is "four hundred forty-five million, six hundred forty-one thousand, six hundred".