414144360 has 256 divisors, whose sum is σ = 1632960000. Its totient is φ = 91348992.

The previous prime is 414144347. The next prime is 414144377. The reversal of 414144360 is 63441414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218296 + ... + 220184.

It is an arithmetic number, because the mean of its divisors is an integer number (6378750).

Almost surely, 2^414144360 is an apocalyptic number.

414144360 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 414144360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480000).

414144360 is an abundant number, since it is smaller than the sum of its proper divisors (1218815640).

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

414144360 is a wasteful number, since it uses less digits than its factorization.

414144360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 414144360 is about 20350.5370936494. The cubic root of 414144360 is about 745.3906093922.

Adding to 414144360 its reverse (63441414), we get a palindrome (477585774).

The spelling of 414144360 in words is "four hundred fourteen million, one hundred forty-four thousand, three hundred sixty".