414153213 has 8 divisors (see below), whose sum is σ = 552427776. Its totient is φ = 275990400.

The previous prime is 414153193. The next prime is 414153281. The reversal of 414153213 is 312351414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414153213 - 2¹² = 414149117 is a prime.

It is a super-3 number, since 3×414153213³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414153293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18868 + ... + 34413.

It is an arithmetic number, because the mean of its divisors is an integer number (69053472).

Almost surely, 2^414153213 is an apocalyptic number.

It is an amenable number.

414153213 is a deficient number, since it is larger than the sum of its proper divisors (138274563).

414153213 is a wasteful number, since it uses less digits than its factorization.

414153213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55875.

The product of its digits is 1440, while the sum is 24.

The square root of 414153213 is about 20350.7546051737. The cubic root of 414153213 is about 745.3959206610.

The spelling of 414153213 in words is "four hundred fourteen million, one hundred fifty-three thousand, two hundred thirteen".