414447440 has 80 divisors (see below), whose sum is σ = 1061824896. Its totient is φ = 149184000.

The previous prime is 414447427. The next prime is 414447559. The reversal of 414447440 is 44744414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414447397 and 414447406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86549 + ... + 91211.

Almost surely, 2^414447440 is an apocalyptic number.

414447440 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 414447440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530912448).

414447440 is an abundant number, since it is smaller than the sum of its proper divisors (647377456).

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

414447440 is a wasteful number, since it uses less digits than its factorization.

414447440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 32.

The square root of 414447440 is about 20357.9822182848. The cubic root of 414447440 is about 745.5723961641.

It can be divided in two parts, 41444 and 7440, that added together give a palindrome (48884).

The spelling of 414447440 in words is "four hundred fourteen million, four hundred forty-seven thousand, four hundred forty".