447417152 has 112 divisors (see below), whose sum is σ = 1157264640. Its totient is φ = 166551552.

The previous prime is 447417121. The next prime is 447417181. The reversal of 447417152 is 251714744.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×447417152² = 400364215807582208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96749 + ... + 101267.

It is an arithmetic number, because the mean of its divisors is an integer number (10332720).

Almost surely, 2^447417152 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 447417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578632320).

447417152 is an abundant number, since it is smaller than the sum of its proper divisors (709847488).

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

447417152 is a wasteful number, since it uses less digits than its factorization.

447417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4558 counting only the distinct ones).

The product of its digits is 31360, while the sum is 35.

The square root of 447417152 is about 21152.2375175772. The cubic root of 447417152 is about 764.8404993055.

The spelling of 447417152 in words is "four hundred forty-seven million, four hundred seventeen thousand, one hundred fifty-two".