416655456 has 96 divisors (see below), whose sum is σ = 1259774208. Its totient is φ = 118110720.

The previous prime is 416655433. The next prime is 416655461. The reversal of 416655456 is 654556614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85666 + ... + 90398.

It is an arithmetic number, because the mean of its divisors is an integer number (13122648).

Almost surely, 2^416655456 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 416655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629887104).

416655456 is an abundant number, since it is smaller than the sum of its proper divisors (843118752).

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

416655456 is a wasteful number, since it uses less digits than its factorization.

416655456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4876 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 416655456 is about 20412.1399172159. The cubic root of 416655456 is about 746.8940924281.

The spelling of 416655456 in words is "four hundred sixteen million, six hundred fifty-five thousand, four hundred fifty-six".