414000340 has 48 divisors (see below), whose sum is σ = 938448000. Its totient is φ = 152507520.

The previous prime is 414000311. The next prime is 414000347. The reversal of 414000340 is 43000414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414000347) 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 15 ways as a sum of consecutive naturals, for example, 128145 + ... + 131335.

It is an arithmetic number, because the mean of its divisors is an integer number (19551000).

Almost surely, 2^414000340 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 414000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469224000).

414000340 is an abundant number, since it is smaller than the sum of its proper divisors (524447660).

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

414000340 is a wasteful number, since it uses less digits than its factorization.

414000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 414000340 is about 20346.9983044183. The cubic root of 414000340 is about 745.3041954005.

Adding to 414000340 its reverse (43000414), we get a palindrome (457000754).

The spelling of 414000340 in words is "four hundred fourteen million, three hundred forty", and thus it is an aban number.