446961564 has 120 divisors (see below), whose sum is σ = 1342515328. Its totient is φ = 127545840.

The previous prime is 446961563. The next prime is 446961611. The reversal of 446961564 is 465169644.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446961563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550719 + ... + 551529.

Almost surely, 2^446961564 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 446961564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671257664).

446961564 is an abundant number, since it is smaller than the sum of its proper divisors (895553764).

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

446961564 is an frugal number, since it uses more digits than its factorization.

446961564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 823 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 446961564 is about 21141.4655121162. The cubic root of 446961564 is about 764.5808084028.

The spelling of 446961564 in words is "four hundred forty-six million, nine hundred sixty-one thousand, five hundred sixty-four".