447430034744 has 128 divisors (see below), whose sum is σ = 1057906137600. Its totient is φ = 172334400000.

The previous prime is 447430034713. The next prime is 447430034771.

447430034744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 447430034695 and 447430034704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43608287 + ... + 43618545.

It is an arithmetic number, because the mean of its divisors is an integer number (8264891700).

Almost surely, 2^447430034744 is an apocalyptic number.

447430034744 is a gapful number since it is divisible by the number (44) 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 447430034744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528953068800).

447430034744 is an abundant number, since it is smaller than the sum of its proper divisors (610476102856).

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

447430034744 is a wasteful number, since it uses less digits than its factorization.

447430034744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 44.

The spelling of 447430034744 in words is "four hundred forty-seven billion, four hundred thirty million, thirty-four thousand, seven hundred forty-four".