4477968 has 90 divisors (see below), whose sum is σ = 13828542. Its totient is φ = 1351680.

The previous prime is 4477961. The next prime is 4477969. The reversal of 4477968 is 8697744.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 17424 = 2112^2 + 132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17296 + ... + 17552.

Almost surely, 2^4477968 is an apocalyptic number.

4477968 is a gapful number since it is divisible by the number (48) 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 4477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914271).

4477968 is an abundant number, since it is smaller than the sum of its proper divisors (9350574).

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

4477968 is a wasteful number, since it uses less digits than its factorization.

4477968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4477968 is about 2116.1209795283. The cubic root of 4477968 is about 164.8264842596.

It can be divided in two parts, 4477 and 968, that added together give a palindrome (5445).

The spelling of 4477968 in words is "four million, four hundred seventy-seven thousand, nine hundred sixty-eight".