414420440 has 192 divisors, whose sum is σ = 1174564800. Its totient is φ = 130808832.

The previous prime is 414420427. The next prime is 414420443. The reversal of 414420440 is 44024414.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414420443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307162 + ... + 1307478.

It is an arithmetic number, because the mean of its divisors is an integer number (6117525).

Almost surely, 2^414420440 is an apocalyptic number.

414420440 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 414420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587282400).

414420440 is an abundant number, since it is smaller than the sum of its proper divisors (760144360).

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

414420440 is a wasteful number, since it uses less digits than its factorization.

414420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 414420440 is about 20357.3190769315. The cubic root of 414420440 is about 745.5562052153.

Adding to 414420440 its reverse (44024414), we get a palindrome (458444854).

The spelling of 414420440 in words is "four hundred fourteen million, four hundred twenty thousand, four hundred forty".