416283714 has 144 divisors (see below), whose sum is σ = 1158165216. Its totient is φ = 106848000.

The previous prime is 416283713. The next prime is 416283727. The reversal of 416283714 is 417382614.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (416283713) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1037914 + ... + 1038314.

It is an arithmetic number, because the mean of its divisors is an integer number (8042814).

Almost surely, 2^416283714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416283714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579082608).

416283714 is an abundant number, since it is smaller than the sum of its proper divisors (741881502).

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

416283714 is a wasteful number, since it uses less digits than its factorization.

416283714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 416283714 is about 20403.0319805660. The cubic root of 416283714 is about 746.6718988349.

The spelling of 416283714 in words is "four hundred sixteen million, two hundred eighty-three thousand, seven hundred fourteen".