479617380 has 324 divisors, whose sum is σ = 1715382396. Its totient is φ = 108345600.

The previous prime is 479617357. The next prime is 479617381. The reversal of 479617380 is 83716974.

479617380 is a `hidden beast` number, since 479 + 6 + 173 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 402564096 = 8778^2 + 20064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (479617381) 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 107 ways as a sum of consecutive naturals, for example, 7862550 + ... + 7862610.

Almost surely, 2^479617380 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 479617380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857691198).

479617380 is an abundant number, since it is smaller than the sum of its proper divisors (1235765016).

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

479617380 is a wasteful number, since it uses less digits than its factorization.

479617380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 479617380 is about 21900.1684925025. The cubic root of 479617380 is about 782.7654303394.

The spelling of 479617380 in words is "four hundred seventy-nine million, six hundred seventeen thousand, three hundred eighty".