447513000 has 256 divisors, whose sum is σ = 1552711680. Its totient is φ = 106400000.

The previous prime is 447512987. The next prime is 447513041. The reversal of 447513000 is 315744.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2342905 + ... + 2343095.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2^447513000 is an apocalyptic number.

447513000 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 447513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776355840).

447513000 is an abundant number, since it is smaller than the sum of its proper divisors (1105198680).

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

447513000 is a wasteful number, since it uses less digits than its factorization.

447513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 447513000 is about 21154.5030667232. The cubic root of 447513000 is about 764.8951114258.

Adding to 447513000 its reverse (315744), we get a palindrome (447828744).

The spelling of 447513000 in words is "four hundred forty-seven million, five hundred thirteen thousand".