4161456 has 150 divisors (see below), whose sum is σ = 13728660. Its totient is φ = 1213056.

The previous prime is 4161439. The next prime is 4161457. The reversal of 4161456 is 6541614.

4161456 = 345² + 346² + ... + 376².

4161456 is a `hidden beast` number, since 41 + 614 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4161457) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 219015 + ... + 219033.

Almost surely, 2^4161456 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 4161456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864330).

4161456 is an abundant number, since it is smaller than the sum of its proper divisors (9567204).

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

4161456 is a wasteful number, since it uses less digits than its factorization.

4161456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4161456 is about 2039.9647055770. The cubic root of 4161456 is about 160.8477915418.

The spelling of 4161456 in words is "four million, one hundred sixty-one thousand, four hundred fifty-six".