447149472 has 192 divisors, whose sum is σ = 1475324928. Its totient is φ = 115200000.

The previous prime is 447149431. The next prime is 447149473. The reversal of 447149472 is 274941744.

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

It is not an unprimeable number, because it can be changed into a prime (447149473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1781347 + ... + 1781597.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2^447149472 is an apocalyptic number.

447149472 is a gapful number since it is divisible by the number (42) 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 447149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737662464).

447149472 is an abundant number, since it is smaller than the sum of its proper divisors (1028175456).

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

447149472 is a wasteful number, since it uses less digits than its factorization.

447149472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 447149472 is about 21145.9091079102. The cubic root of 447149472 is about 764.6879397038.

The spelling of 447149472 in words is "four hundred forty-seven million, one hundred forty-nine thousand, four hundred seventy-two".