414131430 has 64 divisors (see below), whose sum is σ = 1012746240. Its totient is φ = 108361344.

The previous prime is 414131423. The next prime is 414131437. The reversal of 414131430 is 34131414.

It is an interprime number because it is at equal distance from previous prime (414131423) and next prime (414131437).

It is a junction number, because it is equal to n+sod(n) for n = 414131397 and 414131406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414131437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466447 + ... + 467333.

It is an arithmetic number, because the mean of its divisors is an integer number (15824160).

Almost surely, 2^414131430 is an apocalyptic number.

414131430 is an abundant number, since it is smaller than the sum of its proper divisors (598614810).

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

414131430 is a wasteful number, since it uses less digits than its factorization.

414131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

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

The square root of 414131430 is about 20350.2194091366. The cubic root of 414131430 is about 745.3828520320.

Adding to 414131430 its reverse (34131414), we get a palindrome (448262844).

The spelling of 414131430 in words is "four hundred fourteen million, one hundred thirty-one thousand, four hundred thirty".