448355790 has 256 divisors, whose sum is σ = 1373552640. Its totient is φ = 103403520.

The previous prime is 448355777. The next prime is 448355819. The reversal of 448355790 is 97553844.

448355790 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 557 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3272602 + ... + 3272738.

It is an arithmetic number, because the mean of its divisors is an integer number (5365440).

Almost surely, 2^448355790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448355790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686776320).

448355790 is an abundant number, since it is smaller than the sum of its proper divisors (925196850).

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

448355790 is a wasteful number, since it uses less digits than its factorization.

448355790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 448355790 is about 21174.4135692113. The cubic root of 448355790 is about 765.3749795652.

It can be divided in two parts, 44835 and 5790, that added together give a 4-th power (50625 = 15⁴).

The spelling of 448355790 in words is "four hundred forty-eight million, three hundred fifty-five thousand, seven hundred ninety".