479483200 has 168 divisors, whose sum is σ = 1392879104. Its totient is φ = 158976000.

The previous prime is 479483099. The next prime is 479483203. The reversal of 479483200 is 2384974.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 479483200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479483203) 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 23 ways as a sum of consecutive naturals, for example, 346510 + ... + 347890.

Almost surely, 2^479483200 is an apocalyptic number.

479483200 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 479483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696439552).

479483200 is an abundant number, since it is smaller than the sum of its proper divisors (913395904).

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

479483200 is a wasteful number, since it uses less digits than its factorization.

479483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 479483200 is about 21897.1048314612. The cubic root of 479483200 is about 782.6924268259.

Subtracting from 479483200 its product of nonzero digits (48384), we obtain a square (479434816 = 21896²).

The spelling of 479483200 in words is "four hundred seventy-nine million, four hundred eighty-three thousand, two hundred".