414000444 has 48 divisors (see below), whose sum is σ = 1134887040. Its totient is φ = 115803840.

The previous prime is 414000359. The next prime is 414000449. The reversal of 414000444 is 444000414.

It is a self number, because there is not a number n which added to its sum of digits gives 414000444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414000449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118914 + ... + 122345.

It is an arithmetic number, because the mean of its divisors is an integer number (23643480).

Almost surely, 2^414000444 is an apocalyptic number.

414000444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414000444 is an abundant number, since it is smaller than the sum of its proper divisors (720886596).

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

414000444 is a wasteful number, since it uses less digits than its factorization.

414000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241290 (or 241288 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 414000444 is about 20347.0008600776. Note that the first 3 decimals coincide. The cubic root of 414000444 is about 745.3042578092.

Adding to 414000444 its reverse (444000414), we get a palindrome (858000858).

The spelling of 414000444 in words is "four hundred fourteen million, four hundred forty-four", and thus it is an aban number.