476384216471520 has 384 divisors, whose sum is σ = 1765632648536064. Its totient is φ = 105703052765184.

The previous prime is 476384216471461. The next prime is 476384216471549. The reversal of 476384216471520 is 25174612483674.

It is a happy number.

It is a super-2 number, since 2×476384216471520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13436029 + ... + 33664451.

It is an arithmetic number, because the mean of its divisors is an integer number (4598001688896).

Almost surely, 2^{476384216471520} is an apocalyptic number.

476384216471520 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 476384216471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882816324268032).

476384216471520 is an abundant number, since it is smaller than the sum of its proper divisors (1289248432064544).

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

476384216471520 is a wasteful number, since it uses less digits than its factorization.

476384216471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20228654 (or 20228646 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 476384216471520 in words is "four hundred seventy-six trillion, three hundred eighty-four billion, two hundred sixteen million, four hundred seventy-one thousand, five hundred twenty".