480892480 has 56 divisors (see below), whose sum is σ = 1164579840. Its totient is φ = 189089280.

The previous prime is 480892459. The next prime is 480892493. The reversal of 480892480 is 84298084.

It is a super-3 number, since 3×480892480³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6145 + ... + 31615.

Almost surely, 2^480892480 is an apocalyptic number.

480892480 is a gapful number since it is divisible by the number (40) 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 480892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582289920).

480892480 is an abundant number, since it is smaller than the sum of its proper divisors (683687360).

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

480892480 is a wasteful number, since it uses less digits than its factorization.

480892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25547 (or 25537 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 480892480 is about 21929.2608174557. The cubic root of 480892480 is about 783.4584973781.

The spelling of 480892480 in words is "four hundred eighty million, eight hundred ninety-two thousand, four hundred eighty".