413342000 has 80 divisors (see below), whose sum is σ = 1004882112. Its totient is φ = 164441600.

The previous prime is 413341997. The next prime is 413342021. The reversal of 413342000 is 243314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 413342000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465557 + ... + 466443.

Almost surely, 2^413342000 is an apocalyptic number.

413342000 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 413342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502441056).

413342000 is an abundant number, since it is smaller than the sum of its proper divisors (591540112).

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

413342000 is a wasteful number, since it uses less digits than its factorization.

413342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 413342000 is about 20330.8140515819. The cubic root of 413342000 is about 744.9089269030.

Adding to 413342000 its reverse (243314), we get a palindrome (413585314).

It can be divided in two parts, 41334 and 2000, that added together give a palindrome (43334).

The spelling of 413342000 in words is "four hundred thirteen million, three hundred forty-two thousand".