414020240 has 80 divisors (see below), whose sum is σ = 1039219200. Its totient is φ = 152925696.

The previous prime is 414020231. The next prime is 414020249. The reversal of 414020240 is 42020414.

It is an interprime number because it is at equal distance from previous prime (414020231) and next prime (414020249).

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

It is not an unprimeable number, because it can be changed into a prime (414020249) 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, 49481 + ... + 57239.

It is an arithmetic number, because the mean of its divisors is an integer number (12990240).

Almost surely, 2^414020240 is an apocalyptic number.

414020240 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 414020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519609600).

414020240 is an abundant number, since it is smaller than the sum of its proper divisors (625198960).

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

414020240 is a wasteful number, since it uses less digits than its factorization.

414020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 414020240 is about 20347.4873141624. The cubic root of 414020240 is about 745.3161368688.

Adding to 414020240 its reverse (42020414), we get a palindrome (456040654).

The spelling of 414020240 in words is "four hundred fourteen million, twenty thousand, two hundred forty".