480932480 has 64 divisors (see below), whose sum is σ = 1313988480. Its totient is φ = 164889600.

The previous prime is 480932477. The next prime is 480932483. The reversal of 480932480 is 84239084.

It is an interprime number because it is at equal distance from previous prime (480932477) and next prime (480932483).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×480932480³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480932483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49196 + ... + 58155.

It is an arithmetic number, because the mean of its divisors is an integer number (20531070).

Almost surely, 2^480932480 is an apocalyptic number.

480932480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480932480 is an abundant number, since it is smaller than the sum of its proper divisors (833056000).

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

480932480 is a wasteful number, since it uses less digits than its factorization.

480932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107377 (or 107365 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 480932480 is about 21930.1728219364. The cubic root of 480932480 is about 783.4802191228.

The spelling of 480932480 in words is "four hundred eighty million, nine hundred thirty-two thousand, four hundred eighty".