404242040 has 64 divisors (see below), whose sum is σ = 934502400. Its totient is φ = 157318272.

The previous prime is 404241977. The next prime is 404242079. The reversal of 404242040 is 40242404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

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, 242249 + ... + 243911.

It is an arithmetic number, because the mean of its divisors is an integer number (14601600).

Almost surely, 2^404242040 is an apocalyptic number.

404242040 is a gapful number since it is divisible by the number (40) 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 404242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467251200).

404242040 is an abundant number, since it is smaller than the sum of its proper divisors (530260360).

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

404242040 is a wasteful number, since it uses less digits than its factorization.

404242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 404242040 is about 20105.7713107456. The cubic root of 404242040 is about 739.4017809542.

Adding to 404242040 its reverse (40242404), we get a palindrome (444484444).

The spelling of 404242040 in words is "four hundred four million, two hundred forty-two thousand, forty".