446627952 has 80 divisors (see below), whose sum is σ = 1284640000. Its totient is φ = 148568256.

The previous prime is 446627941. The next prime is 446627953. The reversal of 446627952 is 259726644.

It is a junction number, because it is equal to n+sod(n) for n = 446627898 and 446627907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446627953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318549 + ... + 319947.

It is an arithmetic number, because the mean of its divisors is an integer number (16058000).

Almost surely, 2^446627952 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 446627952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642320000).

446627952 is an abundant number, since it is smaller than the sum of its proper divisors (838012048).

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

446627952 is a wasteful number, since it uses less digits than its factorization.

446627952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 446627952 is about 21133.5740469992. The cubic root of 446627952 is about 764.3905334129.

The spelling of 446627952 in words is "four hundred forty-six million, six hundred twenty-seven thousand, nine hundred fifty-two".