414863328 has 384 divisors, whose sum is σ = 1393459200. Its totient is φ = 106444800.

The previous prime is 414863287. The next prime is 414863353. The reversal of 414863328 is 823368414.

It is a happy number.

It is a super-2 number, since 2×414863328² = 344223161838471168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13382673 + ... + 13382703.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^414863328 is an apocalyptic number.

414863328 is a gapful number since it is divisible by the number (48) 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 414863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

414863328 is an abundant number, since it is smaller than the sum of its proper divisors (978595872).

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

414863328 is a wasteful number, since it uses less digits than its factorization.

414863328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 414863328 is about 20368.1940289266. The cubic root of 414863328 is about 745.8217007587.

It can be divided in two parts, 4148 and 63328, that added together give a palindrome (67476).

The spelling of 414863328 in words is "four hundred fourteen million, eight hundred sixty-three thousand, three hundred twenty-eight".