480262328 has 96 divisors (see below), whose sum is σ = 1144427760. Its totient is φ = 187246080.

The previous prime is 480262327. The next prime is 480262339. The reversal of 480262328 is 823262084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480262327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371363 + ... + 372653.

Almost surely, 2^480262328 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 480262328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572213880).

480262328 is an abundant number, since it is smaller than the sum of its proper divisors (664165432).

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

480262328 is a wasteful number, since it uses less digits than its factorization.

480262328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 480262328 is about 21914.8882725877. Note that the first 3 decimals coincide. The cubic root of 480262328 is about 783.1161382849.

The spelling of 480262328 in words is "four hundred eighty million, two hundred sixty-two thousand, three hundred twenty-eight".