478773120 has 256 divisors, whose sum is σ = 1782144000. Its totient is φ = 109283328.

The previous prime is 478773107. The next prime is 478773121. The reversal of 478773120 is 21377874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478773121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658197 + ... + 658923.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2^478773120 is an apocalyptic number.

478773120 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 478773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072000).

478773120 is an abundant number, since it is smaller than the sum of its proper divisors (1303370880).

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

478773120 is an equidigital number, since it uses as much as digits as its factorization.

478773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 478773120 is about 21880.8848084350. The cubic root of 478773120 is about 782.3058656156.

The spelling of 478773120 in words is "four hundred seventy-eight million, seven hundred seventy-three thousand, one hundred twenty".