447401000 has 32 divisors (see below), whose sum is σ = 1046920680. Its totient is φ = 178960000.

The previous prime is 447400973. The next prime is 447401011. The reversal of 447401000 is 104744.

It can be written as a sum of positive squares in 4 ways, for example, as 134606404 + 312794596 = 11602^2 + 17686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 222701 + ... + 224700.

Almost surely, 2^447401000 is an apocalyptic number.

447401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447401000 is an abundant number, since it is smaller than the sum of its proper divisors (599519680).

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

447401000 is a wasteful number, since it uses less digits than its factorization.

447401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447422 (or 447408 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 447401000 is about 21151.8557105517. The cubic root of 447401000 is about 764.8312954768.

Adding to 447401000 its reverse (104744), we get a palindrome (447505744).

The spelling of 447401000 in words is "four hundred forty-seven million, four hundred one thousand".