414440000 has 140 divisors (see below), whose sum is σ = 1108117164. Its totient is φ = 152832000.

The previous prime is 414439897. The next prime is 414440017. The reversal of 414440000 is 44414.

It can be written as a sum of positive squares in 10 ways, for example, as 378535936 + 35904064 = 19456^2 + 5992^2 .

It is an unprimeable number.

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, 519602 + ... + 520398.

Almost surely, 2^414440000 is an apocalyptic number.

414440000 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 414440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554058582).

414440000 is an abundant number, since it is smaller than the sum of its proper divisors (693677164).

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

414440000 is an equidigital number, since it uses as much as digits as its factorization.

414440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 817 counting only the distinct ones).

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

The square root of 414440000 is about 20357.7994881569. The cubic root of 414440000 is about 745.5679347284.

Adding to 414440000 its reverse (44414), we get a palindrome (414484414).

It can be divided in two parts, 4144 and 40000, that added together give a palindrome (44144).

The spelling of 414440000 in words is "four hundred fourteen million, four hundred forty thousand".