414204160 has 36 divisors (see below), whose sum is σ = 992151468. Its totient is φ = 165681152.

The previous prime is 414204157. The next prime is 414204209. The reversal of 414204160 is 61402414.

It can be written as a sum of positive squares in 2 ways, for example, as 149426176 + 264777984 = 12224^2 + 16272^2 .

It is a super-2 number, since 2×414204160² = 343130172322611200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160519 + ... + 163078.

It is an arithmetic number, because the mean of its divisors is an integer number (27559763).

Almost surely, 2^414204160 is an apocalyptic number.

414204160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414204160 is an abundant number, since it is smaller than the sum of its proper divisors (577947308).

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

414204160 is an equidigital number, since it uses as much as digits as its factorization.

414204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323618 (or 323604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414204160 is about 20352.0062893072. The cubic root of 414204160 is about 745.4264843330.

Adding to 414204160 its reverse (61402414), we get a palindrome (475606574).

The spelling of 414204160 in words is "four hundred fourteen million, two hundred four thousand, one hundred sixty".