447729920 has 72 divisors (see below), whose sum is σ = 1169985600. Its totient is φ = 162805760.

The previous prime is 447729917. The next prime is 447729923. The reversal of 447729920 is 29927744.

It is an interprime number because it is at equal distance from previous prime (447729917) and next prime (447729923).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (447729923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1820 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (16249800).

Almost surely, 2^447729920 is an apocalyptic number.

447729920 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 447729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584992800).

447729920 is an abundant number, since it is smaller than the sum of its proper divisors (722255680).

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

447729920 is a wasteful number, since it uses less digits than its factorization.

447729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31831 (or 31817 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 447729920 is about 21159.6294863592. The cubic root of 447729920 is about 765.0186789692.

The spelling of 447729920 in words is "four hundred forty-seven million, seven hundred twenty-nine thousand, nine hundred twenty".