480233376 has 144 divisors (see below), whose sum is σ = 1628774784. Its totient is φ = 131231232.

The previous prime is 480233333. The next prime is 480233387. The reversal of 480233376 is 673332084.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 480233376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41190 + ... + 51546.

It is an arithmetic number, because the mean of its divisors is an integer number (11310936).

Almost surely, 2^480233376 is an apocalyptic number.

480233376 is a gapful number since it is divisible by the number (46) 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 480233376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814387392).

480233376 is an abundant number, since it is smaller than the sum of its proper divisors (1148541408).

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

480233376 is a wasteful number, since it uses less digits than its factorization.

480233376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 480233376 is about 21914.2277071313. The cubic root of 480233376 is about 783.1004015839.

The spelling of 480233376 in words is "four hundred eighty million, two hundred thirty-three thousand, three hundred seventy-six".