447415000 has 80 divisors (see below), whose sum is σ = 1073187720. Its totient is φ = 174720000.

The previous prime is 447414997. The next prime is 447415013. The reversal of 447415000 is 514744.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 213960 + ... + 216040.

Almost surely, 2^447415000 is an apocalyptic number.

447415000 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 447415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536593860).

447415000 is an abundant number, since it is smaller than the sum of its proper divisors (625772720).

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

447415000 is a wasteful number, since it uses less digits than its factorization.

447415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 447415000 is about 21152.1866481931. The cubic root of 447415000 is about 764.8392730529.

Adding to 447415000 its reverse (514744), we get a palindrome (447929744).

The spelling of 447415000 in words is "four hundred forty-seven million, four hundred fifteen thousand".