478049402880 has 1360 divisors, whose sum is σ = 2046267869184. Its totient is φ = 104469626880.

The previous prime is 478049402869. The next prime is 478049402893. The reversal of 478049402880 is 88204940874.

478049402880 is a `hidden beast` number, since 4 + 78 + 0 + 494 + 0 + 2 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5759631319 + ... + 5759631401.

Almost surely, 2^478049402880 is an apocalyptic number.

478049402880 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 478049402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023133934592).

478049402880 is an abundant number, since it is smaller than the sum of its proper divisors (1568218466304).

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

478049402880 is an frugal number, since it uses more digits than its factorization.

478049402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 478049402880 in words is "four hundred seventy-eight billion, forty-nine million, four hundred two thousand, eight hundred eighty".