416661408 has 168 divisors, whose sum is σ = 1256814468. Its totient is φ = 135862272.

The previous prime is 416661407. The next prime is 416661419. The reversal of 416661408 is 804166614.

It can be written as a sum of positive squares in 2 ways, for example, as 416649744 + 11664 = 20412^2 + 108^2 .

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

It is not an unprimeable number, because it can be changed into a prime (416661407) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1236216 + ... + 1236552.

Almost surely, 2^416661408 is an apocalyptic number.

416661408 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 416661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628407234).

416661408 is an abundant number, since it is smaller than the sum of its proper divisors (840153060).

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

416661408 is an equidigital number, since it uses as much as digits as its factorization.

416661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 416661408 is about 20412.2857122861. The cubic root of 416661408 is about 746.8976489178.

The spelling of 416661408 in words is "four hundred sixteen million, six hundred sixty-one thousand, four hundred eight".