414234240 has 512 divisors, whose sum is σ = 1674432000. Its totient is φ = 86704128.

The previous prime is 414234239. The next prime is 414234241. The reversal of 414234240 is 42432414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414234239) and next prime (414234241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414234240.

It is not an unprimeable number, because it can be changed into a prime (414234241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11195502 + ... + 11195538.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^414234240 is an apocalyptic number.

414234240 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 414234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837216000).

414234240 is an abundant number, since it is smaller than the sum of its proper divisors (1260197760).

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

414234240 is a wasteful number, since it uses less digits than its factorization.

414234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414234240 is about 20352.7452693734. The cubic root of 414234240 is about 745.4445284829. Note that the first 3 decimals are identical.

Adding to 414234240 its reverse (42432414), we get a palindrome (456666654).

The spelling of 414234240 in words is "four hundred fourteen million, two hundred thirty-four thousand, two hundred forty".