480952384 has 56 divisors (see below), whose sum is σ = 1052035488. Its totient is φ = 216330240.

The previous prime is 480952349. The next prime is 480952411. The reversal of 480952384 is 483259084.

It is a super-3 number, since 3×480952384³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480952384.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64767 + ... + 71809.

It is an arithmetic number, because the mean of its divisors is an integer number (18786348).

Almost surely, 2^480952384 is an apocalyptic number.

480952384 is a gapful number since it is divisible by the number (44) 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 480952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526017744).

480952384 is an abundant number, since it is smaller than the sum of its proper divisors (571083104).

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

480952384 is a wasteful number, since it uses less digits than its factorization.

480952384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 480952384 is about 21930.6266212345. The cubic root of 480952384 is about 783.4910274142.

The spelling of 480952384 in words is "four hundred eighty million, nine hundred fifty-two thousand, three hundred eighty-four".