424480 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 145152.

The previous prime is 424471. The next prime is 424481. The reversal of 424480 is 84424.

424480 = T₁₅₃ + T₁₅₄ + ... + T₁₈₂.

It is not an unprimeable number, because it can be changed into a prime (424481) by changing a digit.

424480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴²⁴⁴⁸⁰ is an apocalyptic number.

424480 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 424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

424480 is an abundant number, since it is smaller than the sum of its proper divisors (724640).

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

424480 is a wasteful number, since it uses less digits than its factorization.

424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 424480 is about 651.5212966588. The cubic root of 424480 is about 75.1540537197.

The spelling of 424480 in words is "four hundred twenty-four thousand, four hundred eighty".