447348720 has 160 divisors (see below), whose sum is σ = 1706890752. Its totient is φ = 94381056.

The previous prime is 447348719. The next prime is 447348721. The reversal of 447348720 is 27843744.

It is an interprime number because it is at equal distance from previous prime (447348719) and next prime (447348721).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447348721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11599 + ... + 32081.

Almost surely, 2^447348720 is an apocalyptic number.

447348720 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 447348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853445376).

447348720 is an abundant number, since it is smaller than the sum of its proper divisors (1259542032).

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

447348720 is a wasteful number, since it uses less digits than its factorization.

447348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519 (or 20513 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 447348720 is about 21150.6198490730. The cubic root of 447348720 is about 764.8015034575.

The spelling of 447348720 in words is "four hundred forty-seven million, three hundred forty-eight thousand, seven hundred twenty".