414193152 has 80 divisors (see below), whose sum is σ = 1130521392. Its totient is φ = 134676480.

The previous prime is 414193147. The next prime is 414193159. The reversal of 414193152 is 251391414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414193159) 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, 59688 + ... + 66264.

Almost surely, 2^414193152 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 414193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565260696).

414193152 is an abundant number, since it is smaller than the sum of its proper divisors (716328240).

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

414193152 is an equidigital number, since it uses as much as digits as its factorization.

414193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6623 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 414193152 is about 20351.7358473424. The cubic root of 414193152 is about 745.4198807236.

The spelling of 414193152 in words is "four hundred fourteen million, one hundred ninety-three thousand, one hundred fifty-two".