414333416 has 48 divisors (see below), whose sum is σ = 912096900. Its totient is φ = 175924224.

The previous prime is 414333379. The next prime is 414333421. The reversal of 414333416 is 614333414.

It can be written as a sum of positive squares in 2 ways, for example, as 409252900 + 5080516 = 20230^2 + 2254^2 .

It is a super-2 number, since 2×414333416² = 343344359228458112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37880 + ... + 47576.

Almost surely, 2^414333416 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 414333416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456048450).

414333416 is an abundant number, since it is smaller than the sum of its proper divisors (497763484).

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

414333416 is a wasteful number, since it uses less digits than its factorization.

414333416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9815 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 414333416 is about 20355.1815516345. The cubic root of 414333416 is about 745.5040152017.

The spelling of 414333416 in words is "four hundred fourteen million, three hundred thirty-three thousand, four hundred sixteen".