445623002500 has 225 divisors, whose sum is σ = 1069225259487. Its totient is φ = 162454968000.

The previous prime is 445623002497. The next prime is 445623002509. The reversal of 445623002500 is 5200326544.

The square root of 445623002500 is 667550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 104604377476 + 341018625024 = 323426^2 + 583968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445623002509) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5640797461 + ... + 5640797539.

Almost surely, 2^445623002500 is an apocalyptic number.

445623002500 is the 667550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445623002500

445623002500 is an abundant number, since it is smaller than the sum of its proper divisors (623602256987).

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

445623002500 is an frugal number, since it uses more digits than its factorization.

445623002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 445623002500 in words is "four hundred forty-five billion, six hundred twenty-three million, two thousand, five hundred".