470448 has 90 divisors (see below), whose sum is σ = 1500772. Its totient is φ = 142560.

The previous prime is 470447. The next prime is 470453. The reversal of 470448 is 844074.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (470443) 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, 42763 + ... + 42773.

2⁴⁷⁰⁴⁴⁸ is an apocalyptic number.

470448 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 470448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750386).

470448 is an abundant number, since it is smaller than the sum of its proper divisors (1030324).

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

470448 is a wasteful number, since it uses less digits than its factorization.

470448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 470448 is about 685.8921197973. The cubic root of 470448 is about 77.7744966114.

Multiplying 470448 by its sum of digits (27), we get a square (12702096 = 3564²).

470448 divided by its sum of digits (27) gives a square (17424 = 132²).

The spelling of 470448 in words is "four hundred seventy thousand, four hundred forty-eight".