445450200 has 288 divisors, whose sum is σ = 1568471040. Its totient is φ = 104332800.

The previous prime is 445450189. The next prime is 445450217. The reversal of 445450200 is 2054544.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2332105 + ... + 2332295.

It is an arithmetic number, because the mean of its divisors is an integer number (5446080).

Almost surely, 2^445450200 is an apocalyptic number.

445450200 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 445450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784235520).

445450200 is an abundant number, since it is smaller than the sum of its proper divisors (1123020840).

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

445450200 is a wasteful number, since it uses less digits than its factorization.

445450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 445450200 is about 21105.6911756047. The cubic root of 445450200 is about 763.7180460450.

The spelling of 445450200 in words is "four hundred forty-five million, four hundred fifty thousand, two hundred".