447345360 has 240 divisors, whose sum is σ = 1873272960. Its totient is φ = 92943360.

The previous prime is 447345347. The next prime is 447345373. The reversal of 447345360 is 63543744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447345347) and next prime (447345373).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×447345360² = 400235742227059200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51406 + ... + 59474.

It is an arithmetic number, because the mean of its divisors is an integer number (7805304).

Almost surely, 2^447345360 is an apocalyptic number.

447345360 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 447345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936636480).

447345360 is an abundant number, since it is smaller than the sum of its proper divisors (1425927600).

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

447345360 is a wasteful number, since it uses less digits than its factorization.

447345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 447345360 is about 21150.5404186276. The cubic root of 447345360 is about 764.7995886654.

The spelling of 447345360 in words is "four hundred forty-seven million, three hundred forty-five thousand, three hundred sixty".