413740000 has 120 divisors (see below), whose sum is σ = 1032082128. Its totient is φ = 163200000.

The previous prime is 413739959. The next prime is 413740001. The reversal of 413740000 is 47314.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 413740000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413740001) 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 19 ways as a sum of consecutive naturals, for example, 2739925 + ... + 2740075.

Almost surely, 2^413740000 is an apocalyptic number.

413740000 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 413740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516041064).

413740000 is an abundant number, since it is smaller than the sum of its proper divisors (618342128).

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

413740000 is a wasteful number, since it uses less digits than its factorization.

413740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 413740000 is about 20340.5997944997. The cubic root of 413740000 is about 745.1479369296.

Adding to 413740000 its reverse (47314), we get a palindrome (413787314).

The spelling of 413740000 in words is "four hundred thirteen million, seven hundred forty thousand".