414820152 has 96 divisors (see below), whose sum is σ = 1146225600. Its totient is φ = 135502848.

The previous prime is 414820117. The next prime is 414820163. The reversal of 414820152 is 251028414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325148 + ... + 1325460.

It is an arithmetic number, because the mean of its divisors is an integer number (11939850).

Almost surely, 2^414820152 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 414820152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573112800).

414820152 is an abundant number, since it is smaller than the sum of its proper divisors (731405448).

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

414820152 is a wasteful number, since it uses less digits than its factorization.

414820152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 414820152 is about 20367.1341135664. The cubic root of 414820152 is about 745.7958266031.

Adding to 414820152 its reverse (251028414), we get a palindrome (665848566).

The spelling of 414820152 in words is "four hundred fourteen million, eight hundred twenty thousand, one hundred fifty-two".