404991444 has 192 divisors, whose sum is σ = 1165425408. Its totient is φ = 107827200.

The previous prime is 404991439. The next prime is 404991463. The reversal of 404991444 is 444199404.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5547792 + ... + 5547864.

It is an arithmetic number, because the mean of its divisors is an integer number (6069924).

Almost surely, 2^404991444 is an apocalyptic number.

404991444 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 404991444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582712704).

404991444 is an abundant number, since it is smaller than the sum of its proper divisors (760433964).

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

404991444 is a wasteful number, since it uses less digits than its factorization.

404991444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 404991444 is about 20124.3992208463. The cubic root of 404991444 is about 739.8584121611.

The spelling of 404991444 in words is "four hundred four million, nine hundred ninety-one thousand, four hundred forty-four".