404406024 has 64 divisors (see below), whose sum is σ = 1108779840. Its totient is φ = 121896960.

The previous prime is 404406017. The next prime is 404406043. The reversal of 404406024 is 420604404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 404405985 and 404406003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46984 + ... + 54920.

It is an arithmetic number, because the mean of its divisors is an integer number (17324685).

Almost surely, 2^404406024 is an apocalyptic number.

404406024 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 404406024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554389920).

404406024 is an abundant number, since it is smaller than the sum of its proper divisors (704373816).

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

404406024 is a wasteful number, since it uses less digits than its factorization.

404406024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 404406024 is about 20109.8489303127. The cubic root of 404406024 is about 739.5017488430.

It can be divided in two parts, 40440 and 6024, that added together give a palindrome (46464).

The spelling of 404406024 in words is "four hundred four million, four hundred six thousand, twenty-four".