447525000 has 480 divisors, whose sum is σ = 1786526280. Its totient is φ = 103680000.

The previous prime is 447524989. The next prime is 447525049. The reversal of 447525000 is 525744.

It can be written as a sum of positive squares in 12 ways, for example, as 228070404 + 219454596 = 15102^2 + 14814^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26324992 + ... + 26325008.

Almost surely, 2^447525000 is an apocalyptic number.

447525000 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 447525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893263140).

447525000 is an abundant number, since it is smaller than the sum of its proper divisors (1339001280).

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

447525000 is a wasteful number, since it uses less digits than its factorization.

447525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 447525000 is about 21154.7866923777. The cubic root of 447525000 is about 764.9019482173.

The spelling of 447525000 in words is "four hundred forty-seven million, five hundred twenty-five thousand".