414444140 has 48 divisors (see below), whose sum is σ = 959291424. Its totient is φ = 149145600.

The previous prime is 414444137. The next prime is 414444157. The reversal of 414444140 is 41444414.

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, 11630 + ... + 31050.

It is an arithmetic number, because the mean of its divisors is an integer number (19985238).

Almost surely, 2^414444140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479645712).

414444140 is an abundant number, since it is smaller than the sum of its proper divisors (544847284).

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

414444140 is a wasteful number, since it uses less digits than its factorization.

414444140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19538 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 414444140 is about 20357.9011688337. The cubic root of 414444140 is about 745.5704173081.

Adding to 414444140 its reverse (41444414), we get a palindrome (455888554).

It can be divided in two parts, 4144 and 44140, that added together give a palindrome (48284).

The spelling of 414444140 in words is "four hundred fourteen million, four hundred forty-four thousand, one hundred forty".