414020160 has 140 divisors (see below), whose sum is σ = 1472834748. Its totient is φ = 110398464.

The previous prime is 414020143. The next prime is 414020161. The reversal of 414020160 is 61020414.

It can be written as a sum of positive squares in 2 ways, for example, as 230796864 + 183223296 = 15192^2 + 13536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17934 + ... + 33906.

Almost surely, 2^414020160 is an apocalyptic number.

414020160 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 414020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736417374).

414020160 is an abundant number, since it is smaller than the sum of its proper divisors (1058814588).

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

414020160 is a wasteful number, since it uses less digits than its factorization.

414020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414020160 is about 20347.4853483176. The cubic root of 414020160 is about 745.3160888637.

Adding to 414020160 its reverse (61020414), we get a palindrome (475040574).

The spelling of 414020160 in words is "four hundred fourteen million, twenty thousand, one hundred sixty".