476056284480 has 1344 divisors, whose sum is σ = 2062020280320. Its totient is φ = 102120652800.

The previous prime is 476056284413. The next prime is 476056284547. The reversal of 476056284480 is 84482650674.

It is a happy number.

476056284480 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 5 + 628 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (476056284413) and next prime (476056284547).

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1975337160 + ... + 1975337400.

It is an arithmetic number, because the mean of its divisors is an integer number (1534241280).

Almost surely, 2^476056284480 is an apocalyptic number.

476056284480 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 476056284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031010140160).

476056284480 is an abundant number, since it is smaller than the sum of its proper divisors (1585963995840).

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

476056284480 is a wasteful number, since it uses less digits than its factorization.

476056284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 476056284480 in words is "four hundred seventy-six billion, fifty-six million, two hundred eighty-four thousand, four hundred eighty".