478229760 has 108 divisors (see below), whose sum is σ = 1654665012. Its totient is φ = 127524864.

The previous prime is 478229743. The next prime is 478229783. The reversal of 478229760 is 67922874.

It can be written as a sum of positive squares in 2 ways, for example, as 269485056 + 208744704 = 16416^2 + 14448^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9237 + ... + 32276.

Almost surely, 2^478229760 is an apocalyptic number.

478229760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478229760 is an abundant number, since it is smaller than the sum of its proper divisors (1176435252).

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

478229760 is a wasteful number, since it uses less digits than its factorization.

478229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41540 (or 41523 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 478229760 is about 21868.4649667049. The cubic root of 478229760 is about 782.0098070691.

The spelling of 478229760 in words is "four hundred seventy-eight million, two hundred twenty-nine thousand, seven hundred sixty".