416861214 has 64 divisors (see below), whose sum is σ = 1048177152. Its totient is φ = 108261120.

The previous prime is 416861213. The next prime is 416861243. The reversal of 416861214 is 412168614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416861213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52174 + ... + 59630.

It is an arithmetic number, because the mean of its divisors is an integer number (16377768).

Almost surely, 2^416861214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416861214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524088576).

416861214 is an abundant number, since it is smaller than the sum of its proper divisors (631315938).

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

416861214 is a wasteful number, since it uses less digits than its factorization.

416861214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7480 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 416861214 is about 20417.1793840383. The cubic root of 416861214 is about 747.0170190510.

The spelling of 416861214 in words is "four hundred sixteen million, eight hundred sixty-one thousand, two hundred fourteen".