4465656 has 72 divisors (see below), whose sum is σ = 13132080. Its totient is φ = 1370304.

The previous prime is 4465639. The next prime is 4465661. The reversal of 4465656 is 6565644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 6 + 5 + 6⁴ + 5³ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 4465656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11985 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (182390).

Almost surely, 2^4465656 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 4465656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566040).

4465656 is an abundant number, since it is smaller than the sum of its proper divisors (8666424).

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

4465656 is a wasteful number, since it uses less digits than its factorization.

4465656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4465656 is about 2113.2098807265. The cubic root of 4465656 is about 164.6752842520.

The spelling of 4465656 in words is "four million, four hundred sixty-five thousand, six hundred fifty-six".