448742385 has 48 divisors (see below), whose sum is σ = 957325824. Its totient is φ = 189357696.

The previous prime is 448742383. The next prime is 448742429. The reversal of 448742385 is 583247844.

It is a happy number.

It is not a de Polignac number, because 448742385 - 2¹ = 448742383 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 448742385.

It is not an unprimeable number, because it can be changed into a prime (448742383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50697 + ... + 58886.

It is an arithmetic number, because the mean of its divisors is an integer number (19944288).

Almost surely, 2^448742385 is an apocalyptic number.

448742385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448742385 is an abundant number, since it is smaller than the sum of its proper divisors (508583439).

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

448742385 is a wasteful number, since it uses less digits than its factorization.

448742385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109614 (or 109611 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 448742385 is about 21183.5404264726. The cubic root of 448742385 is about 765.5948980196.

The spelling of 448742385 in words is "four hundred forty-eight million, seven hundred forty-two thousand, three hundred eighty-five".