404114240 has 56 divisors (see below), whose sum is σ = 965024232. Its totient is φ = 161187840.

The previous prime is 404114237. The next prime is 404114251. The reversal of 404114240 is 42411404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9535744 + 394578496 = 3088^2 + 19864^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125450 + ... + 128630.

Almost surely, 2^404114240 is an apocalyptic number.

404114240 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 404114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482512116).

404114240 is an abundant number, since it is smaller than the sum of its proper divisors (560909992).

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

404114240 is a wasteful number, since it uses less digits than its factorization.

404114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404114240 is about 20102.5928675880. The cubic root of 404114240 is about 739.3238528004.

Adding to 404114240 its reverse (42411404), we get a palindrome (446525644).

It can be divided in two parts, 4041 and 14240, that added together give a palindrome (18281).

The spelling of 404114240 in words is "four hundred four million, one hundred fourteen thousand, two hundred forty".