447483030949440 has 896 divisors, whose sum is σ = 1726123618713600. Its totient is φ = 108640966901760.

The previous prime is 447483030949373. The next prime is 447483030949463. The reversal of 447483030949440 is 44949030384744.

447483030949440 is a `hidden beast` number, since 4 + 4 + 7 + 48 + 30 + 30 + 9 + 494 + 40 = 666.

It is a super-3 number, since 3×447483030949440³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11560758567 + ... + 11560797273.

Almost surely, 2^{447483030949440} is an apocalyptic number.

447483030949440 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 447483030949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863061809356800).

447483030949440 is an abundant number, since it is smaller than the sum of its proper divisors (1278640587764160).

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

447483030949440 is a wasteful number, since it uses less digits than its factorization.

447483030949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41320 (or 41304 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 447483030949440 in words is "four hundred forty-seven trillion, four hundred eighty-three billion, thirty million, nine hundred forty-nine thousand, four hundred forty".