479759100 has 144 divisors (see below), whose sum is σ = 1453240320. Its totient is φ = 122054400.

The previous prime is 479759099. The next prime is 479759107. The reversal of 479759100 is 1957974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479759107) 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, 734374 + ... + 735026.

Almost surely, 2^479759100 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 479759100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726620160).

479759100 is an abundant number, since it is smaller than the sum of its proper divisors (973481220).

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

479759100 is a wasteful number, since it uses less digits than its factorization.

479759100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 479759100 is about 21903.4038450648. The cubic root of 479759100 is about 782.8425213685.

It can be divided in two parts, 47975 and 9100, that added together give a palindrome (57075).

The spelling of 479759100 in words is "four hundred seventy-nine million, seven hundred fifty-nine thousand, one hundred".