478496160 has 288 divisors, whose sum is σ = 1752371712. Its totient is φ = 123171840.

The previous prime is 478496149. The next prime is 478496197. The reversal of 478496160 is 61694874.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1205082 + ... + 1205478.

It is an arithmetic number, because the mean of its divisors is an integer number (6084624).

Almost surely, 2^478496160 is an apocalyptic number.

478496160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876185856).

478496160 is an abundant number, since it is smaller than the sum of its proper divisors (1273875552).

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

478496160 is a wasteful number, since it uses less digits than its factorization.

478496160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 478496160 is about 21874.5550811897. Note that the first 3 decimals coincide. The cubic root of 478496160 is about 782.1549874536.

The spelling of 478496160 in words is "four hundred seventy-eight million, four hundred ninety-six thousand, one hundred sixty".