414300413304 has 128 divisors (see below), whose sum is σ = 1201138560000. Its totient is φ = 132066329472.

The previous prime is 414300413287. The next prime is 414300413311. The reversal of 414300413304 is 403314003414.

414300413304 is a `hidden beast` number, since 4 + 14 + 300 + 41 + 3 + 304 = 666.

It is a super-3 number, since 3×414300413304³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37497909 + ... + 37508955.

It is an arithmetic number, because the mean of its divisors is an integer number (9383895000).

Almost surely, 2^414300413304 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 414300413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600569280000).

414300413304 is an abundant number, since it is smaller than the sum of its proper divisors (786838146696).

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

414300413304 is a wasteful number, since it uses less digits than its factorization.

414300413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18634 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414300413304 its reverse (403314003414), we get a palindrome (817614416718).

The spelling of 414300413304 in words is "four hundred fourteen billion, three hundred million, four hundred thirteen thousand, three hundred four".