479609100 has 324 divisors, whose sum is σ = 1691313624. Its totient is φ = 117573120.

The previous prime is 479609093. The next prime is 479609107. The reversal of 479609100 is 1906974.

479609100 is a `hidden beast` number, since 47 + 9 + 609 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (479609093) and next prime (479609107).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479609107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11153679 + ... + 11153721.

Almost surely, 2^479609100 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 479609100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845656812).

479609100 is an abundant number, since it is smaller than the sum of its proper divisors (1211704524).

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

479609100 is a wasteful number, since it uses less digits than its factorization.

479609100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 479609100 is about 21899.9794520452. The cubic root of 479609100 is about 782.7609258216.

The spelling of 479609100 in words is "four hundred seventy-nine million, six hundred nine thousand, one hundred".