479829546 has 48 divisors (see below), whose sum is σ = 1193547264. Its totient is φ = 136471392.

The previous prime is 479829481. The next prime is 479829547. The reversal of 479829546 is 645928974.

479829546 is a `hidden beast` number, since 4 + 7 + 98 + 2 + 9 + 546 = 666.

It is a super-2 number, since 2×479829546² = 460472786429132232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 479829492 and 479829501.

It is not an unprimeable number, because it can be changed into a prime (479829547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19560 + ... + 36636.

It is an arithmetic number, because the mean of its divisors is an integer number (24865568).

Almost surely, 2^479829546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479829546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596773632).

479829546 is an abundant number, since it is smaller than the sum of its proper divisors (713717718).

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

479829546 is a wasteful number, since it uses less digits than its factorization.

479829546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315 (or 17312 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 479829546 is about 21905.0118922588. The cubic root of 479829546 is about 782.8808360318.

The spelling of 479829546 in words is "four hundred seventy-nine million, eight hundred twenty-nine thousand, five hundred forty-six".