478290960 has 240 divisors, whose sum is σ = 1916841600. Its totient is φ = 109299456.

The previous prime is 478290947. The next prime is 478290961. The reversal of 478290960 is 69092874.

It is a happy number.

478290960 is a `hidden beast` number, since 478 + 2 + 90 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (478290961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103581 + ... + 108099.

It is an arithmetic number, because the mean of its divisors is an integer number (7986840).

Almost surely, 2^478290960 is an apocalyptic number.

478290960 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 478290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958420800).

478290960 is an abundant number, since it is smaller than the sum of its proper divisors (1438550640).

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

478290960 is a wasteful number, since it uses less digits than its factorization.

478290960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 478290960 is about 21869.8641971092. The cubic root of 478290960 is about 782.0431640890.

It can be divided in two parts, 4782909 and 60, that added together give a 14-th power (4782969 = 3¹⁴).

The spelling of 478290960 in words is "four hundred seventy-eight million, two hundred ninety thousand, nine hundred sixty".