404224128 has 512 divisors, whose sum is σ = 1566720000. Its totient is φ = 101606400.

The previous prime is 404224099. The next prime is 404224129. The reversal of 404224128 is 821422404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404224129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13039473 + ... + 13039503.

It is an arithmetic number, because the mean of its divisors is an integer number (3060000).

Almost surely, 2^404224128 is an apocalyptic number.

404224128 is a gapful number since it is divisible by the number (48) 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 404224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360000).

404224128 is an abundant number, since it is smaller than the sum of its proper divisors (1162495872).

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

404224128 is a wasteful number, since it uses less digits than its factorization.

404224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 404224128 is about 20105.3258615721. The cubic root of 404224128 is about 739.3908598071.

The spelling of 404224128 in words is "four hundred four million, two hundred twenty-four thousand, one hundred twenty-eight".