414242304 has 160 divisors (see below), whose sum is σ = 1284560640. Its totient is φ = 116170752.

The previous prime is 414242299. The next prime is 414242321. The reversal of 414242304 is 403242414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634042 + ... + 634694.

It is an arithmetic number, because the mean of its divisors is an integer number (8028504).

Almost surely, 2^414242304 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 414242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642280320).

414242304 is an abundant number, since it is smaller than the sum of its proper divisors (870318336).

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

414242304 is an equidigital number, since it uses as much as digits as its factorization.

414242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414242304 is about 20352.9433743623. The cubic root of 414242304 is about 745.4493657023.

Adding to 414242304 its reverse (403242414), we get a palindrome (817484718).

The spelling of 414242304 in words is "four hundred fourteen million, two hundred forty-two thousand, three hundred four".