448272090 has 192 divisors, whose sum is σ = 1436728320. Its totient is φ = 99066240.

The previous prime is 448272089. The next prime is 448272101. The reversal of 448272090 is 90272844.

448272090 is a `hidden beast` number, since 448 + 2 + 7 + 209 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409584 + ... + 410676.

It is an arithmetic number, because the mean of its divisors is an integer number (7482960).

Almost surely, 2^448272090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448272090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718364160).

448272090 is an abundant number, since it is smaller than the sum of its proper divisors (988456230).

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

448272090 is a wasteful number, since it uses less digits than its factorization.

448272090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 448272090 is about 21172.4370349754. The cubic root of 448272090 is about 765.3273493319.

The spelling of 448272090 in words is "four hundred forty-eight million, two hundred seventy-two thousand, ninety".