414180468 has 108 divisors (see below), whose sum is σ = 1193687040. Its totient is φ = 120699072.

The previous prime is 414180461. The next prime is 414180517. The reversal of 414180468 is 864081414.

414180468 is a `hidden beast` number, since 4 + 14 + 180 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414180461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113805 + ... + 117387.

Almost surely, 2^414180468 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 414180468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596843520).

414180468 is an abundant number, since it is smaller than the sum of its proper divisors (779506572).

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

414180468 is a wasteful number, since it uses less digits than its factorization.

414180468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 414180468 is about 20351.4242253460. The cubic root of 414180468 is about 745.4122715504.

The spelling of 414180468 in words is "four hundred fourteen million, one hundred eighty thousand, four hundred sixty-eight".