448714336 has 144 divisors (see below), whose sum is σ = 1106058240. Its totient is φ = 175322880.

The previous prime is 448714333. The next prime is 448714339. The reversal of 448714336 is 633417844.

It is an interprime number because it is at equal distance from previous prime (448714333) and next prime (448714339).

It is a super-3 number, since 3×448714336³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448714333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2506695 + ... + 2506873.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^448714336 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 448714336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

448714336 is an abundant number, since it is smaller than the sum of its proper divisors (657343904).

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

448714336 is a wasteful number, since it uses less digits than its factorization.

448714336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 448714336 is about 21182.8783690980. The cubic root of 448714336 is about 765.5789463144.

The spelling of 448714336 in words is "four hundred forty-eight million, seven hundred fourteen thousand, three hundred thirty-six".