480258324 has 144 divisors (see below), whose sum is σ = 1542661120. Its totient is φ = 122549760.

The previous prime is 480258323. The next prime is 480258371. The reversal of 480258324 is 423852084.

480258324 is a `hidden beast` number, since 4 + 80 + 258 + 324 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480258323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99192 + ... + 103920.

Almost surely, 2^480258324 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 480258324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771330560).

480258324 is an abundant number, since it is smaller than the sum of its proper divisors (1062402796).

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

480258324 is a wasteful number, since it uses less digits than its factorization.

480258324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 480258324 is about 21914.7969189769. The cubic root of 480258324 is about 783.1139619703.

The spelling of 480258324 in words is "four hundred eighty million, two hundred fifty-eight thousand, three hundred twenty-four".