476530030080 has 1440 divisors, whose sum is σ = 1980773061696. Its totient is φ = 105262350336.

The previous prime is 476530030073. The next prime is 476530030121. The reversal of 476530030080 is 80030035674.

It is a happy number.

476530030080 is a `hidden beast` number, since 47 + 6 + 5 + 300 + 300 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1522460004 + ... + 1522460316.

Almost surely, 2^476530030080 is an apocalyptic number.

476530030080 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 476530030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990386530848).

476530030080 is an abundant number, since it is smaller than the sum of its proper divisors (1504243031616).

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

476530030080 is a wasteful number, since it uses less digits than its factorization.

476530030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 476530030080 in words is "four hundred seventy-six billion, five hundred thirty million, thirty thousand, eighty".