480713328 has 60 divisors (see below), whose sum is σ = 1347590088. Its totient is φ = 159968640.

The previous prime is 480713231. The next prime is 480713411. The reversal of 480713328 is 823317084.

It is a super-3 number, since 3×480713328³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 480713292 and 480713301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95023 + ... + 99953.

Almost surely, 2^480713328 is an apocalyptic number.

480713328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480713328 is an abundant number, since it is smaller than the sum of its proper divisors (866876760).

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

480713328 is a wasteful number, since it uses less digits than its factorization.

480713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480713328 is about 21925.1756663430. The cubic root of 480713328 is about 783.3611952466.

The spelling of 480713328 in words is "four hundred eighty million, seven hundred thirteen thousand, three hundred twenty-eight".