414097420 has 48 divisors (see below), whose sum is σ = 959364000. Its totient is φ = 148881920.

The previous prime is 414097393. The next prime is 414097421. The reversal of 414097420 is 24790414.

It is not an unprimeable number, because it can be changed into a prime (414097421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9006 + ... + 30154.

It is an arithmetic number, because the mean of its divisors is an integer number (19986750).

Almost surely, 2^414097420 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 414097420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479682000).

414097420 is an abundant number, since it is smaller than the sum of its proper divisors (545266580).

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

414097420 is a wasteful number, since it uses less digits than its factorization.

414097420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21256 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 414097420 is about 20349.3837744537. The cubic root of 414097420 is about 745.3624469441.

The spelling of 414097420 in words is "four hundred fourteen million, ninety-seven thousand, four hundred twenty".