447498253440 has 768 divisors, whose sum is σ = 1804688121600. Its totient is φ = 100063641600.

The previous prime is 447498253429. The next prime is 447498253481. The reversal of 447498253440 is 44352894744.

447498253440 is a `hidden beast` number, since 4 + 4 + 74 + 9 + 82 + 53 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744589140 + ... + 744589740.

It is an arithmetic number, because the mean of its divisors is an integer number (2349854325).

Almost surely, 2^447498253440 is an apocalyptic number.

447498253440 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 447498253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902344060800).

447498253440 is an abundant number, since it is smaller than the sum of its proper divisors (1357189868160).

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

447498253440 is a wasteful number, since it uses less digits than its factorization.

447498253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 447498253440 in words is "four hundred forty-seven billion, four hundred ninety-eight million, two hundred fifty-three thousand, four hundred forty".