478090114560 has 1280 divisors, whose sum is σ = 1866737664000. Its totient is φ = 115617300480.

The previous prime is 478090114433. The next prime is 478090114603. The reversal of 478090114560 is 65411090874.

478090114560 is a `hidden beast` number, since 4 + 7 + 80 + 9 + 0 + 1 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 4386147786 + ... + 4386147894.

It is an arithmetic number, because the mean of its divisors is an integer number (1458388800).

Almost surely, 2^478090114560 is an apocalyptic number.

478090114560 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 478090114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933368832000).

478090114560 is an abundant number, since it is smaller than the sum of its proper divisors (1388647549440).

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

478090114560 is a wasteful number, since it uses less digits than its factorization.

478090114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 478090114560 in words is "four hundred seventy-eight billion, ninety million, one hundred fourteen thousand, five hundred sixty".