478445760 has 252 divisors, whose sum is σ = 1783793232. Its totient is φ = 117651456.

The previous prime is 478445749. The next prime is 478445761. The reversal of 478445760 is 67544874.

478445760 is a `hidden beast` number, since 4 + 78 + 4 + 4 + 576 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (478445761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486229 + ... + 487211.

Almost surely, 2^478445760 is an apocalyptic number.

478445760 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 478445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891896616).

478445760 is an abundant number, since it is smaller than the sum of its proper divisors (1305347472).

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

478445760 is a wasteful number, since it uses less digits than its factorization.

478445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 478445760 is about 21873.4030274212. The cubic root of 478445760 is about 782.1275250281.

The spelling of 478445760 in words is "four hundred seventy-eight million, four hundred forty-five thousand, seven hundred sixty".