448706052 has 72 divisors (see below), whose sum is σ = 1197356160. Its totient is φ = 141289920.

The previous prime is 448706029. The next prime is 448706077. The reversal of 448706052 is 250607844.

448706052 is a `hidden beast` number, since 4 + 48 + 7 + 0 + 605 + 2 = 666.

It is a super-2 number, since 2×448706052² = 402674242202853408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 448705998 and 448706016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314613 + ... + 316035.

Almost surely, 2^448706052 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 448706052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598678080).

448706052 is an abundant number, since it is smaller than the sum of its proper divisors (748650108).

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

448706052 is a wasteful number, since it uses less digits than its factorization.

448706052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 448706052 is about 21182.6828329180. The cubic root of 448706052 is about 765.5742350059.

The spelling of 448706052 in words is "four hundred forty-eight million, seven hundred six thousand, fifty-two".