448564032 has 252 divisors, whose sum is σ = 1562929056. Its totient is φ = 122411520.

The previous prime is 448564007. The next prime is 448564033. The reversal of 448564032 is 230465844.

448564032 is a `hidden beast` number, since 4 + 4 + 8 + 5 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448564033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648807 + ... + 649497.

Almost surely, 2^448564032 is an apocalyptic number.

448564032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781464528).

448564032 is an abundant number, since it is smaller than the sum of its proper divisors (1114365024).

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

448564032 is a wasteful number, since it uses less digits than its factorization.

448564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 448564032 is about 21179.3303010270. The cubic root of 448564032 is about 765.4934558221.

The spelling of 448564032 in words is "four hundred forty-eight million, five hundred sixty-four thousand, thirty-two".