448228620 has 288 divisors, whose sum is σ = 1699084800. Its totient is φ = 95831424.

The previous prime is 448228567. The next prime is 448228633. The reversal of 448228620 is 26822844.

It is a happy number.

448228620 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 28 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5673741 + ... + 5673819.

It is an arithmetic number, because the mean of its divisors is an integer number (5899600).

Almost surely, 2^448228620 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 448228620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849542400).

448228620 is an abundant number, since it is smaller than the sum of its proper divisors (1250856180).

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

448228620 is a wasteful number, since it uses less digits than its factorization.

448228620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 448228620 is about 21171.4104395527. The cubic root of 448228620 is about 765.3026100005.

The spelling of 448228620 in words is "four hundred forty-eight million, two hundred twenty-eight thousand, six hundred twenty".