479172100 has 81 divisors (see below), whose sum is σ = 1148696661. Its totient is φ = 173368800.

The previous prime is 479172049. The next prime is 479172103. The reversal of 479172100 is 1271974.

The square root of 479172100 is 21890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 172501956 + 306670144 = 13134^2 + 17512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (479172103) 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 26 ways as a sum of consecutive naturals, for example, 2407801 + ... + 2407999.

Almost surely, 2^479172100 is an apocalyptic number.

479172100 is the 21890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479172100

479172100 is an abundant number, since it is smaller than the sum of its proper divisors (669524561).

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

479172100 is a wasteful number, since it uses less digits than its factorization.

479172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The cubic root of 479172100 is about 782.5231137718.

The spelling of 479172100 in words is "four hundred seventy-nine million, one hundred seventy-two thousand, one hundred".