479187520 has 224 divisors, whose sum is σ = 1390473216. Its totient is φ = 153753600.

The previous prime is 479187509. The next prime is 479187523. The reversal of 479187520 is 25781974.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (479187523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657855 + ... + 3657985.

Almost surely, 2^479187520 is an apocalyptic number.

479187520 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 479187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695236608).

479187520 is an abundant number, since it is smaller than the sum of its proper divisors (911285696).

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

479187520 is a wasteful number, since it uses less digits than its factorization.

479187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 479187520 is about 21890.3522127900. The cubic root of 479187520 is about 782.5315076780.

The spelling of 479187520 in words is "four hundred seventy-nine million, one hundred eighty-seven thousand, five hundred twenty".