480334848 has 132 divisors (see below), whose sum is σ = 1489757472. Its totient is φ = 137195520.

The previous prime is 480334843. The next prime is 480334849. The reversal of 480334848 is 848433084.

It is a super-4 number, since 4×480334848⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480334843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148933 + ... + 152123.

Almost surely, 2^480334848 is an apocalyptic number.

480334848 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 480334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744878736).

480334848 is an abundant number, since it is smaller than the sum of its proper divisors (1009422624).

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

480334848 is a wasteful number, since it uses less digits than its factorization.

480334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 480334848 is about 21916.5427930593. The cubic root of 480334848 is about 783.1555533579.

The spelling of 480334848 in words is "four hundred eighty million, three hundred thirty-four thousand, eight hundred forty-eight".