447974400 has 264 divisors, whose sum is σ = 1563580480. Its totient is φ = 112803840.

The previous prime is 447974399. The next prime is 447974411. The reversal of 447974400 is 4479744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459047 + ... + 1459353.

Almost surely, 2^447974400 is an apocalyptic number.

447974400 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 447974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781790240).

447974400 is an abundant number, since it is smaller than the sum of its proper divisors (1115606080).

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

447974400 is a wasteful number, since it uses less digits than its factorization.

447974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 447974400 is about 21165.4057367205. The cubic root of 447974400 is about 765.1578981176.

447974400 divided by its reverse (4479744) gives a square (100 = 10²).

The spelling of 447974400 in words is "four hundred forty-seven million, nine hundred seventy-four thousand, four hundred".