447949440 has 160 divisors (see below), whose sum is σ = 1599893460. Its totient is φ = 119439360.

The previous prime is 447949427. The next prime is 447949441. The reversal of 447949440 is 44949744.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 61591104 = 19656^2 + 7848^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447949441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47520 + ... + 56160.

Almost surely, 2^447949440 is an apocalyptic number.

447949440 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 447949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799946730).

447949440 is an abundant number, since it is smaller than the sum of its proper divisors (1151944020).

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

447949440 is an equidigital number, since it uses as much as digits as its factorization.

447949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 447949440 is about 21164.8160870819. The cubic root of 447949440 is about 765.1436869663.

The spelling of 447949440 in words is "four hundred forty-seven million, nine hundred forty-nine thousand, four hundred forty".