473616 has 120 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 126720.

The previous prime is 473611. The next prime is 473617. The reversal of 473616 is 616374.

473616 is a `hidden beast` number, since 47 + 3 + 616 = 666.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 473616.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473616.

It is not an unprimeable number, because it can be changed into a prime (473611) by changing a digit.

473616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20581 + ... + 20603.

2⁴⁷³⁶¹⁶ is an apocalyptic number.

473616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

473616 is an abundant number, since it is smaller than the sum of its proper divisors (1151280).

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

473616 is a wasteful number, since it uses less digits than its factorization.

473616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 473616 is about 688.1976460291. The cubic root of 473616 is about 77.9486841957.

It can be divided in two parts, 473 and 616, that added together give a square (1089 = 33²).

The spelling of 473616 in words is "four hundred seventy-three thousand, six hundred sixteen".