411826404 has 72 divisors (see below), whose sum is σ = 1062740224. Its totient is φ = 124027200.

The previous prime is 411826399. The next prime is 411826409. The reversal of 411826404 is 404628114.

It is an interprime number because it is at equal distance from previous prime (411826399) and next prime (411826409).

It is not an unprimeable number, because it can be changed into a prime (411826409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262029 + ... + 263595.

Almost surely, 2^411826404 is an apocalyptic number.

411826404 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 411826404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531370112).

411826404 is an abundant number, since it is smaller than the sum of its proper divisors (650913820).

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

411826404 is a wasteful number, since it uses less digits than its factorization.

411826404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 411826404 is about 20293.5064491083. The cubic root of 411826404 is about 743.9973624025.

It can be divided in two parts, 41182 and 6404, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 411826404 in words is "four hundred eleven million, eight hundred twenty-six thousand, four hundred four".