404226048 has 80 divisors (see below), whose sum is σ = 1082129400. Its totient is φ = 134217728.

The previous prime is 404226029. The next prime is 404226049. The reversal of 404226048 is 840622404.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404226049) by changing a digit.

In principle, a polygon with 404226048 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1572736 + ... + 1572992.

Almost surely, 2^404226048 is an apocalyptic number.

404226048 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 404226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541064700).

404226048 is an abundant number, since it is smaller than the sum of its proper divisors (677903352).

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

404226048 is an frugal number, since it uses more digits than its factorization.

404226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 404226048 is about 20105.3736100576. The cubic root of 404226048 is about 739.3920304680.

404226048 divided by its product of nonzero digits (12288) gives a triangular number (32896 = T₂₅₆).

The spelling of 404226048 in words is "four hundred four million, two hundred twenty-six thousand, forty-eight".