470048 has 24 divisors (see below), whose sum is σ = 952812. Its totient is φ = 228096.

The previous prime is 470039. The next prime is 470059. The reversal of 470048 is 840074.

470048 = T₄₇ + T₄₈ + ... + T₁₄₂.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 44944 = 652^2 + 212^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 986 + ... + 1382.

2⁴⁷⁰⁰⁴⁸ 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 470048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476406).

470048 is an abundant number, since it is smaller than the sum of its proper divisors (482764).

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

470048 is a wasteful number, since it uses less digits than its factorization.

470048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 470048 is about 685.6004667443. The cubic root of 470048 is about 77.7524476851.

The spelling of 470048 in words is "four hundred seventy thousand, forty-eight".