4472960 has 64 divisors (see below), whose sum is σ = 11107800. Its totient is φ = 1720320.

The previous prime is 4472957. The next prime is 4473011. The reversal of 4472960 is 692744.

It can be written as a sum of positive squares in 4 ways, for example, as 4032064 + 440896 = 2008^2 + 664^2 .

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 (32).

It is a congruent number.

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, 18440 + ... + 18680.

Almost surely, 2^4472960 is an apocalyptic number.

4472960 is a gapful number since it is divisible by the number (40) 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 4472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553900).

4472960 is an abundant number, since it is smaller than the sum of its proper divisors (6634840).

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

4472960 is a wasteful number, since it uses less digits than its factorization.

4472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4472960 is about 2114.9373513180. The cubic root of 4472960 is about 164.7650159819.

The spelling of 4472960 in words is "four million, four hundred seventy-two thousand, nine hundred sixty".