480679524 has 144 divisors (see below), whose sum is σ = 1370416320. Its totient is φ = 141039360.

The previous prime is 480679519. The next prime is 480679547. The reversal of 480679524 is 425976084.

It is a happy number.

480679524 is a `hidden beast` number, since 480 + 67 + 95 + 24 = 666.

It is a super-3 number, since 3×480679524³ (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 480679524.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452039 + ... + 1452369.

It is an arithmetic number, because the mean of its divisors is an integer number (9516780).

Almost surely, 2^480679524 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 480679524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685208160).

480679524 is an abundant number, since it is smaller than the sum of its proper divisors (889736796).

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

480679524 is a wasteful number, since it uses less digits than its factorization.

480679524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 480679524 is about 21924.4047581685. The cubic root of 480679524 is about 783.3428327001.

The spelling of 480679524 in words is "four hundred eighty million, six hundred seventy-nine thousand, five hundred twenty-four".