479268900 has 324 divisors, whose sum is σ = 1722886256. Its totient is φ = 115473600.

The previous prime is 479268893. The next prime is 479268919. The reversal of 479268900 is 9862974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2940219 + ... + 2940381.

Almost surely, 2^479268900 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 479268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861443128).

479268900 is an abundant number, since it is smaller than the sum of its proper divisors (1243617356).

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

479268900 is a wasteful number, since it uses less digits than its factorization.

479268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 479268900 is about 21892.2109436210. The cubic root of 479268900 is about 782.5758040524.

The spelling of 479268900 in words is "four hundred seventy-nine million, two hundred sixty-eight thousand, nine hundred".