414157312 has 40 divisors (see below), whose sum is σ = 832312800. Its totient is φ = 205876224.

The previous prime is 414157309. The next prime is 414157313. The reversal of 414157312 is 213751414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414157313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89389 + ... + 93907.

It is an arithmetic number, because the mean of its divisors is an integer number (20807820).

Almost surely, 2^414157312 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 414157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416156400).

414157312 is an abundant number, since it is smaller than the sum of its proper divisors (418155488).

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

414157312 is an equidigital number, since it uses as much as digits as its factorization.

414157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4700 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 414157312 is about 20350.8553137208. The cubic root of 414157312 is about 745.3983797894.

The spelling of 414157312 in words is "four hundred fourteen million, one hundred fifty-seven thousand, three hundred twelve".