479520000 has 450 divisors, whose sum is σ = 1835020418. Its totient is φ = 124416000.

The previous prime is 479519993. The next prime is 479520053. The reversal of 479520000 is 25974.

It can be written as a sum of positive squares in 5 ways, for example, as 90326016 + 389193984 = 9504^2 + 19728^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 12959982 + ... + 12960018.

Almost surely, 2^479520000 is an apocalyptic number.

479520000 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 479520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917510209).

479520000 is an abundant number, since it is smaller than the sum of its proper divisors (1355500418).

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

479520000 is an frugal number, since it uses more digits than its factorization.

479520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 479520000 is about 21897.9451090736. The cubic root of 479520000 is about 782.7124500123.

Adding to 479520000 its reverse (25974), we get a palindrome (479545974).

The spelling of 479520000 in words is "four hundred seventy-nine million, five hundred twenty thousand".