478956192 has 192 divisors, whose sum is σ = 1493614080. Its totient is φ = 132480000.

The previous prime is 478956173. The next prime is 478956197. The reversal of 478956192 is 291659874.

It is not an unprimeable number, because it can be changed into a prime (478956197) 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 31 ways as a sum of consecutive naturals, for example, 1908067 + ... + 1908317.

It is an arithmetic number, because the mean of its divisors is an integer number (7779240).

Almost surely, 2^478956192 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 478956192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746807040).

478956192 is an abundant number, since it is smaller than the sum of its proper divisors (1014657888).

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

478956192 is a wasteful number, since it uses less digits than its factorization.

478956192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 478956192 is about 21885.0677860499. The cubic root of 478956192 is about 782.4055649254.

The spelling of 478956192 in words is "four hundred seventy-eight million, nine hundred fifty-six thousand, one hundred ninety-two".