479419200 has 378 divisors, whose sum is σ = 1854492354. Its totient is φ = 117411840.

The previous prime is 479419183. The next prime is 479419207. The reversal of 479419200 is 2914974.

It can be written as a sum of positive squares in 9 ways, for example, as 154554624 + 324864576 = 12432^2 + 18024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479419207) 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 53 ways as a sum of consecutive naturals, for example, 2433502 + ... + 2433698.

Almost surely, 2^479419200 is an apocalyptic number.

479419200 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 479419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927246177).

479419200 is an abundant number, since it is smaller than the sum of its proper divisors (1375073154).

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

479419200 is a wasteful number, since it uses less digits than its factorization.

479419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 479419200 is about 21895.6434022844. The cubic root of 479419200 is about 782.6576014526.

The spelling of 479419200 in words is "four hundred seventy-nine million, four hundred nineteen thousand, two hundred".