447498240 has 192 divisors, whose sum is σ = 1636951680. Its totient is φ = 102236160.

The previous prime is 447498223. The next prime is 447498251. The reversal of 447498240 is 42894744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 447498192 and 447498201.

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, 214000 + ... + 216080.

It is an arithmetic number, because the mean of its divisors is an integer number (8525790).

Almost surely, 2^447498240 is an apocalyptic number.

447498240 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 447498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818475840).

447498240 is an abundant number, since it is smaller than the sum of its proper divisors (1189453440).

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

447498240 is a wasteful number, since it uses less digits than its factorization.

447498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 447498240 is about 21154.1542019529. The cubic root of 447498240 is about 764.8867020045.

The spelling of 447498240 in words is "four hundred forty-seven million, four hundred ninety-eight thousand, two hundred forty".