414311430 has 64 divisors (see below), whose sum is σ = 1074044160. Its totient is φ = 101678976.

The previous prime is 414311419. The next prime is 414311453. The reversal of 414311430 is 34113414.

It is a super-2 number, since 2×414311430² = 343307922057289800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414311397 and 414311406.

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, 146409 + ... + 149211.

It is an arithmetic number, because the mean of its divisors is an integer number (16781940).

Almost surely, 2^414311430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537022080).

414311430 is an abundant number, since it is smaller than the sum of its proper divisors (659732730).

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

414311430 is a wasteful number, since it uses less digits than its factorization.

414311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 414311430 is about 20354.6414854205. The cubic root of 414311430 is about 745.4908286064.

Adding to 414311430 its reverse (34113414), we get a palindrome (448424844).

The spelling of 414311430 in words is "four hundred fourteen million, three hundred eleven thousand, four hundred thirty".