404414340 has 96 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 97013760.

The previous prime is 404414333. The next prime is 404414341. The reversal of 404414340 is 43414404.

404414340 = T₂₈₃₉ + T₂₈₄₀ + ... + T₂₉₃₅.

It is a self number, because there is not a number n which added to its sum of digits gives 404414340.

It is not an unprimeable number, because it can be changed into a prime (404414341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60862 + ... + 67178.

It is an arithmetic number, because the mean of its divisors is an integer number (13002444).

Almost surely, 2^404414340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

404414340 is an abundant number, since it is smaller than the sum of its proper divisors (843820284).

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

404414340 is a wasteful number, since it uses less digits than its factorization.

404414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6435 counting only the distinct ones).

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

The square root of 404414340 is about 20110.0556936076. The cubic root of 404414340 is about 739.5068177210.

Adding to 404414340 its reverse (43414404), we get a palindrome (447828744).

The spelling of 404414340 in words is "four hundred four million, four hundred fourteen thousand, three hundred forty".