447411008880 has 480 divisors, whose sum is σ = 1811044085760. Its totient is φ = 97644011520.

The previous prime is 447411008851. The next prime is 447411008971. The reversal of 447411008880 is 88800114744.

It is a happy number.

447411008880 is a `hidden beast` number, since 447 + 41 + 10 + 0 + 88 + 80 = 666.

It is a super-2 number, since 2×447411008880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3024481 + ... + 3168959.

It is an arithmetic number, because the mean of its divisors is an integer number (3773008512).

Almost surely, 2^447411008880 is an apocalyptic number.

447411008880 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 447411008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905522042880).

447411008880 is an abundant number, since it is smaller than the sum of its proper divisors (1363633076880).

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

447411008880 is a wasteful number, since it uses less digits than its factorization.

447411008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144549 (or 144540 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 447411008880 in words is "four hundred forty-seven billion, four hundred eleven million, eight thousand, eight hundred eighty".