482624680 has 64 divisors (see below), whose sum is σ = 1112428800. Its totient is φ = 188386560.

The previous prime is 482624671. The next prime is 482624687. The reversal of 482624680 is 86426284.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (482624687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338449 + ... + 339871.

It is an arithmetic number, because the mean of its divisors is an integer number (17381700).

Almost surely, 2^482624680 is an apocalyptic number.

482624680 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 482624680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556214400).

482624680 is an abundant number, since it is smaller than the sum of its proper divisors (629804120).

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

482624680 is a wasteful number, since it uses less digits than its factorization.

482624680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 482624680 is about 21968.7204907341. The cubic root of 482624680 is about 784.3980564007.

The spelling of 482624680 in words is "four hundred eighty-two million, six hundred twenty-four thousand, six hundred eighty".