414432320 has 56 divisors (see below), whose sum is σ = 988841304. Its totient is φ = 165441536.

The previous prime is 414432287. The next prime is 414432379. The reversal of 414432320 is 23234414.

It can be written as a sum of positive squares in 4 ways, for example, as 248125504 + 166306816 = 15752^2 + 12896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215684 + ... + 217596.

Almost surely, 2^414432320 is an apocalyptic number.

414432320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494420652).

414432320 is an abundant number, since it is smaller than the sum of its proper divisors (574408984).

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

414432320 is a wasteful number, since it uses less digits than its factorization.

414432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 414432320 is about 20357.6108617883. The cubic root of 414432320 is about 745.5633293194.

Adding to 414432320 its reverse (23234414), we get a palindrome (437666734).

The spelling of 414432320 in words is "four hundred fourteen million, four hundred thirty-two thousand, three hundred twenty".