416665620 has 360 divisors, whose sum is σ = 1581620040. Its totient is φ = 91445760.

The previous prime is 416665609. The next prime is 416665643. The reversal of 416665620 is 26566614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 416649744 = 126^2 + 20412^2 .

It is a super-2 number, since 2×416665620² = 347220477779968800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2301930 + ... + 2302110.

It is an arithmetic number, because the mean of its divisors is an integer number (4393389).

Almost surely, 2^416665620 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 416665620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790810020).

416665620 is an abundant number, since it is smaller than the sum of its proper divisors (1164954420).

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

416665620 is a wasteful number, since it uses less digits than its factorization.

416665620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 416665620 is about 20412.3888851844. The cubic root of 416665620 is about 746.9001656874.

The spelling of 416665620 in words is "four hundred sixteen million, six hundred sixty-five thousand, six hundred twenty".