4556448 has 72 divisors (see below), whose sum is σ = 13965588. Its totient is φ = 1400832.

The previous prime is 4556437. The next prime is 4556467. The reversal of 4556448 is 8446554.

4556448 is a `hidden beast` number, since 4 + 5 + 5 + 644 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 345744 = 2052^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4556448² = 41522436753408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3136 + ... + 4352.

Almost surely, 2^4556448 is an apocalyptic number.

4556448 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 4556448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982794).

4556448 is an abundant number, since it is smaller than the sum of its proper divisors (9409140).

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

4556448 is a wasteful number, since it uses less digits than its factorization.

4556448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 4556448 is about 2134.5838001821. The cubic root of 4556448 is about 165.7838188468.

It can be divided in two parts, 455 and 6448, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 4556448 in words is "four million, five hundred fifty-six thousand, four hundred forty-eight".