479920896 has 432 divisors, whose sum is σ = 1794223200. Its totient is φ = 125411328.

The previous prime is 479920891. The next prime is 479920939. The reversal of 479920896 is 698029974.

479920896 is a `hidden beast` number, since 479 + 92 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (479920891) 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, 4402890 + ... + 4402998.

Almost surely, 2^479920896 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 479920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897111600).

479920896 is an abundant number, since it is smaller than the sum of its proper divisors (1314302304).

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

479920896 is a wasteful number, since it uses less digits than its factorization.

479920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 479920896 is about 21907.0969322729. The cubic root of 479920896 is about 782.9305145250.

The spelling of 479920896 in words is "four hundred seventy-nine million, nine hundred twenty thousand, eight hundred ninety-six".