414213330 has 32 divisors (see below), whose sum is σ = 1052590464. Its totient is φ = 103959296.

The previous prime is 414213323. The next prime is 414213337. The reversal of 414213330 is 33312414.

It is an interprime number because it is at equal distance from previous prime (414213323) and next prime (414213337).

It is a junction number, because it is equal to n+sod(n) for n = 414213297 and 414213306.

It is not an unprimeable number, because it can be changed into a prime (414213337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405582 + ... + 406601.

It is an arithmetic number, because the mean of its divisors is an integer number (32893452).

Almost surely, 2^414213330 is an apocalyptic number.

414213330 is an abundant number, since it is smaller than the sum of its proper divisors (638377134).

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

414213330 is a wasteful number, since it uses less digits than its factorization.

414213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812210.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 414213330 is about 20352.2315729750. The cubic root of 414213330 is about 745.4319852519.

Adding to 414213330 its reverse (33312414), we get a palindrome (447525744).

The spelling of 414213330 in words is "four hundred fourteen million, two hundred thirteen thousand, three hundred thirty".