447617700992 has 384 divisors, whose sum is σ = 1188388454400. Its totient is φ = 162700462080.

The previous prime is 447617700977. The next prime is 447617701033. The reversal of 447617700992 is 299007716744.

It is a super-5 number, since 5×447617700992⁵ (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1168714433 + ... + 1168714815.

It is an arithmetic number, because the mean of its divisors is an integer number (3094761600).

Almost surely, 2^447617700992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447617700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594194227200).

447617700992 is an abundant number, since it is smaller than the sum of its proper divisors (740770753408).

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

447617700992 is a wasteful number, since it uses less digits than its factorization.

447617700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 56.

The spelling of 447617700992 in words is "four hundred forty-seven billion, six hundred seventeen million, seven hundred thousand, nine hundred ninety-two".