478221760 has 56 divisors (see below), whose sum is σ = 1153241280. Its totient is φ = 188857344.

The previous prime is 478221749. The next prime is 478221767. The reversal of 478221760 is 67122874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478221767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15822 + ... + 34738.

Almost surely, 2^478221760 is an apocalyptic number.

478221760 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 478221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576620640).

478221760 is an abundant number, since it is smaller than the sum of its proper divisors (675019520).

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

478221760 is a wasteful number, since it uses less digits than its factorization.

478221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19013 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 478221760 is about 21868.2820541532. The cubic root of 478221760 is about 782.0054464640.

The spelling of 478221760 in words is "four hundred seventy-eight million, two hundred twenty-one thousand, seven hundred sixty".