415788340 has 96 divisors (see below), whose sum is σ = 981227520. Its totient is φ = 146716800.

The previous prime is 415788301. The next prime is 415788349. The reversal of 415788340 is 43887514.

It is a junction number, because it is equal to n+sod(n) for n = 415788293 and 415788302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415788349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1336785 + ... + 1337095.

It is an arithmetic number, because the mean of its divisors is an integer number (10221120).

Almost surely, 2^415788340 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 415788340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

415788340 is an abundant number, since it is smaller than the sum of its proper divisors (565439180).

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

415788340 is a wasteful number, since it uses less digits than its factorization.

415788340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 415788340 is about 20390.8886515522. Note that the first 3 decimals coincide. The cubic root of 415788340 is about 746.3756035851.

The spelling of 415788340 in words is "four hundred fifteen million, seven hundred eighty-eight thousand, three hundred forty".