404140410 has 96 divisors (see below), whose sum is σ = 1075323600. Its totient is φ = 105283584.

The previous prime is 404140409. The next prime is 404140411. The reversal of 404140410 is 14041404.

It is an interprime number because it is at equal distance from previous prime (404140409) and next prime (404140411).

It can be written as a sum of positive squares in 8 ways, for example, as 227436561 + 176703849 = 15081^2 + 13293^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404140411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899866 + ... + 900314.

Almost surely, 2^404140410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537661800).

404140410 is an abundant number, since it is smaller than the sum of its proper divisors (671183190).

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

404140410 is a wasteful number, since it uses less digits than its factorization.

404140410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404140410 is about 20103.2437681087. The cubic root of 404140410 is about 739.3398117263.

Adding to 404140410 its reverse (14041404), we get a palindrome (418181814).

It can be divided in two parts, 404140 and 410, that added together give a triangular number (404550 = T₈₉₉).

The spelling of 404140410 in words is "four hundred four million, one hundred forty thousand, four hundred ten".