479903424 has 336 divisors, whose sum is σ = 1725314304. Its totient is φ = 114554880.

The previous prime is 479903423. The next prime is 479903443. The reversal of 479903424 is 424309974.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (479903423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2113999 + ... + 2114225.

It is an arithmetic number, because the mean of its divisors is an integer number (5134864).

Almost surely, 2^479903424 is an apocalyptic number.

479903424 is a gapful number since it is divisible by the number (44) 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 479903424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862657152).

479903424 is an abundant number, since it is smaller than the sum of its proper divisors (1245410880).

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

479903424 is a wasteful number, since it uses less digits than its factorization.

479903424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 479903424 is about 21906.6981537611. The cubic root of 479903424 is about 782.9210132870.

The spelling of 479903424 in words is "four hundred seventy-nine million, nine hundred three thousand, four hundred twenty-four".