480084552 has 96 divisors (see below), whose sum is σ = 1377698400. Its totient is φ = 150605568.

The previous prime is 480084541. The next prime is 480084559. The reversal of 480084552 is 255480084.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (480084559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221908 + ... + 224060.

It is an arithmetic number, because the mean of its divisors is an integer number (14351025).

Almost surely, 2^480084552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480084552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688849200).

480084552 is an abundant number, since it is smaller than the sum of its proper divisors (897613848).

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

480084552 is a wasteful number, since it uses less digits than its factorization.

480084552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 480084552 is about 21910.8318418083. The cubic root of 480084552 is about 783.0194991303.

The spelling of 480084552 in words is "four hundred eighty million, eighty-four thousand, five hundred fifty-two".