478367760 has 320 divisors, whose sum is σ = 1754887680. Its totient is φ = 106659840.

The previous prime is 478367749. The next prime is 478367779. The reversal of 478367760 is 67763874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538005 + ... + 1538315.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^478367760 is an apocalyptic number.

478367760 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 478367760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

478367760 is an abundant number, since it is smaller than the sum of its proper divisors (1276519920).

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

478367760 is a wasteful number, since it uses less digits than its factorization.

478367760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 478367760 is about 21871.6199674373. The cubic root of 478367760 is about 782.0850198529.

The spelling of 478367760 in words is "four hundred seventy-eight million, three hundred sixty-seven thousand, seven hundred sixty".