416134656 has 360 divisors, whose sum is σ = 1485764280. Its totient is φ = 111476736.

The previous prime is 416134627. The next prime is 416134703. The reversal of 416134656 is 656431614.

It is a happy number.

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 416134656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4290000 + ... + 4290096.

It is an arithmetic number, because the mean of its divisors is an integer number (4127123).

Almost surely, 2^416134656 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 416134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742882140).

416134656 is an abundant number, since it is smaller than the sum of its proper divisors (1069629624).

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

416134656 is a wasteful number, since it uses less digits than its factorization.

416134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

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

The square root of 416134656 is about 20399.3788140718. The cubic root of 416134656 is about 746.5827683510.

The spelling of 416134656 in words is "four hundred sixteen million, one hundred thirty-four thousand, six hundred fifty-six".