4477312 has 64 divisors (see below), whose sum is σ = 10771200. Its totient is φ = 1810944.

The previous prime is 4477283. The next prime is 4477313. The reversal of 4477312 is 2137744.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16893 + ... + 17155.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

Almost surely, 2^4477312 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 4477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385600).

4477312 is an abundant number, since it is smaller than the sum of its proper divisors (6293888).

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

4477312 is a wasteful number, since it uses less digits than its factorization.

4477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 4477312 is about 2115.9659732614. The cubic root of 4477312 is about 164.8184351137.

The spelling of 4477312 in words is "four million, four hundred seventy-seven thousand, three hundred twelve".