445209472500 has 960 divisors, whose sum is σ = 1588855403520. Its totient is φ = 95800320000.

The previous prime is 445209472471. The next prime is 445209472511. The reversal of 445209472500 is 5274902544.

It is a happy number.

It is a super-2 number, since 2×445209472500² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2109997395 + ... + 2109997605.

It is an arithmetic number, because the mean of its divisors is an integer number (1655057712).

Almost surely, 2^445209472500 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 445209472500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794427701760).

445209472500 is an abundant number, since it is smaller than the sum of its proper divisors (1143645931020).

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

445209472500 is a wasteful number, since it uses less digits than its factorization.

445209472500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 445209472500 in words is "four hundred forty-five billion, two hundred nine million, four hundred seventy-two thousand, five hundred".