414081360 has 540 divisors, whose sum is σ = 1796424084. Its totient is φ = 85155840.

The previous prime is 414081347. The next prime is 414081361. The reversal of 414081360 is 63180414.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 246741264 = 12936^2 + 15708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414081361) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268832 + ... + 4268928.

Almost surely, 2^414081360 is an apocalyptic number.

414081360 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 414081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898212042).

414081360 is an abundant number, since it is smaller than the sum of its proper divisors (1382342724).

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

414081360 is a wasteful number, since it uses less digits than its factorization.

414081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 414081360 is about 20348.9891640838. The cubic root of 414081360 is about 745.3528109864.

The spelling of 414081360 in words is "four hundred fourteen million, eighty-one thousand, three hundred sixty".