478933632 has 96 divisors (see below), whose sum is σ = 1422744960. Its totient is φ = 154483200.

The previous prime is 478933607. The next prime is 478933633. The reversal of 478933632 is 236339874.

478933632 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×478933632² = 458754847721422848, which contains 22 as substring.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (478933633) 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 11 ways as a sum of consecutive naturals, for example, 29007 + ... + 42417.

It is an arithmetic number, because the mean of its divisors is an integer number (14820260).

Almost surely, 2^478933632 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 478933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711372480).

478933632 is an abundant number, since it is smaller than the sum of its proper divisors (943811328).

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

478933632 is a wasteful number, since it uses less digits than its factorization.

478933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13447 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 478933632 is about 21884.5523600553. The cubic root of 478933632 is about 782.3932803317.

The spelling of 478933632 in words is "four hundred seventy-eight million, nine hundred thirty-three thousand, six hundred thirty-two".