461616 has 40 divisors (see below), whose sum is σ = 1220160. Its totient is φ = 150336.

The previous prime is 461609. The next prime is 461627. The reversal of 461616 is 616164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2751 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (30504).

2⁴⁶¹⁶¹⁶ 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 461616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610080).

461616 is an abundant number, since it is smaller than the sum of its proper divisors (758544).

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

461616 is a wasteful number, since it uses less digits than its factorization.

461616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 461616 is about 679.4232848527. The cubic root of 461616 is about 77.2847164369.

The spelling of 461616 in words is "four hundred sixty-one thousand, six hundred sixteen".