447072120 has 384 divisors, whose sum is σ = 1743768000. Its totient is φ = 98058240.

The previous prime is 447072089. The next prime is 447072167. The reversal of 447072120 is 21270744.

It is a happy number.

447072120 is a `hidden beast` number, since 4 + 470 + 72 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952166 + ... + 1952394.

Almost surely, 2^447072120 is an apocalyptic number.

447072120 is a gapful number since it is divisible by the number (40) 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 447072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871884000).

447072120 is an abundant number, since it is smaller than the sum of its proper divisors (1296695880).

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

447072120 is a wasteful number, since it uses less digits than its factorization.

447072120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 447072120 is about 21144.0800225500. The cubic root of 447072120 is about 764.6438429261.

The spelling of 447072120 in words is "four hundred forty-seven million, seventy-two thousand, one hundred twenty".