446742823000 has 128 divisors (see below), whose sum is σ = 1092626496000. Its totient is φ = 170646115200.

The previous prime is 446742822949. The next prime is 446742823003. The reversal of 446742823000 is 328247644.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446742823003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14221311 + ... + 14252689.

It is an arithmetic number, because the mean of its divisors is an integer number (8536144500).

Almost surely, 2^446742823000 is an apocalyptic number.

446742823000 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 446742823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546313248000).

446742823000 is an abundant number, since it is smaller than the sum of its proper divisors (645883673000).

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

446742823000 is a wasteful number, since it uses less digits than its factorization.

446742823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32042 (or 32028 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 446742823000 in words is "four hundred forty-six billion, seven hundred forty-two million, eight hundred twenty-three thousand".