414220000 has 120 divisors (see below), whose sum is σ = 1033263000. Its totient is φ = 163392000.

The previous prime is 414219979. The next prime is 414220039. The reversal of 414220000 is 22414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2779926 + ... + 2780074.

It is an arithmetic number, because the mean of its divisors is an integer number (8610525).

Almost surely, 2^414220000 is an apocalyptic number.

414220000 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 414220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516631500).

414220000 is an abundant number, since it is smaller than the sum of its proper divisors (619043000).

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

414220000 is a wasteful number, since it uses less digits than its factorization.

414220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 414220000 is about 20352.3954364099. The cubic root of 414220000 is about 745.4359864145.

Adding to 414220000 its reverse (22414), we get a palindrome (414242414).

It can be divided in two parts, 4142 and 20000, that added together give a palindrome (24142).

The spelling of 414220000 in words is "four hundred fourteen million, two hundred twenty thousand".