479964060 has 144 divisors (see below), whose sum is σ = 1556755200. Its totient is φ = 119273472.

The previous prime is 479964053. The next prime is 479964061. The reversal of 479964060 is 60469974.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 479963997 and 479964015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479964061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332821 + ... + 334259.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2^479964060 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 479964060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

479964060 is an abundant number, since it is smaller than the sum of its proper divisors (1076791140).

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

479964060 is a wasteful number, since it uses less digits than its factorization.

479964060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 479964060 is about 21908.0820703228. The cubic root of 479964060 is about 782.9539860317.

The spelling of 479964060 in words is "four hundred seventy-nine million, nine hundred sixty-four thousand, sixty".