404818240 has 56 divisors (see below), whose sum is σ = 982202760. Its totient is φ = 158865408.

The previous prime is 404818189. The next prime is 404818277. The reversal of 404818240 is 42818404.

It can be written as a sum of positive squares in 4 ways, for example, as 124188736 + 280629504 = 11144^2 + 16752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5026 + ... + 28894.

It is an arithmetic number, because the mean of its divisors is an integer number (17539335).

Almost surely, 2^404818240 is an apocalyptic number.

404818240 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 404818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491101380).

404818240 is an abundant number, since it is smaller than the sum of its proper divisors (577384520).

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

404818240 is a wasteful number, since it uses less digits than its factorization.

404818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23939 (or 23929 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 404818240 is about 20120.0954272091. The cubic root of 404818240 is about 739.7529245753.

The spelling of 404818240 in words is "four hundred four million, eight hundred eighteen thousand, two hundred forty".