479039400 has 768 divisors, whose sum is σ = 2142720000. Its totient is φ = 95800320.

The previous prime is 479039339. The next prime is 479039401. The reversal of 479039400 is 4930974.

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

It is not an unprimeable number, because it can be changed into a prime (479039401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16518586 + ... + 16518614.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2^479039400 is an apocalyptic number.

479039400 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 479039400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

479039400 is an abundant number, since it is smaller than the sum of its proper divisors (1663680600).

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

479039400 is a wasteful number, since it uses less digits than its factorization.

479039400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 479039400 is about 21886.9687257053. The cubic root of 479039400 is about 782.4508708314.

The spelling of 479039400 in words is "four hundred seventy-nine million, thirty-nine thousand, four hundred".