404445346920 has 384 divisors, whose sum is σ = 1418092790400. Its totient is φ = 99594682368.

The previous prime is 404445346919. The next prime is 404445346939. The reversal of 404445346920 is 29643544404.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309444907 + ... + 309446213.

It is an arithmetic number, because the mean of its divisors is an integer number (3692949975).

Almost surely, 2^404445346920 is an apocalyptic number.

404445346920 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 404445346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709046395200).

404445346920 is an abundant number, since it is smaller than the sum of its proper divisors (1013647443480).

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

404445346920 is a wasteful number, since it uses less digits than its factorization.

404445346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 404445346920 in words is "four hundred four billion, four hundred forty-five million, three hundred forty-six thousand, nine hundred twenty".