476228616192 has 588 divisors, whose sum is σ = 1650373950960. Its totient is φ = 134536495104.

The previous prime is 476228616191. The next prime is 476228616251. The reversal of 476228616192 is 291616822674.

476228616192 is a `hidden beast` number, since 4 + 7 + 6 + 2 + 2 + 8 + 616 + 19 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476228616191) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5350883284 + ... + 5350883372.

It is an arithmetic number, because the mean of its divisors is an integer number (2806758420).

Almost surely, 2^476228616192 is an apocalyptic number.

476228616192 is a gapful number since it is divisible by the number (42) 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 476228616192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825186975480).

476228616192 is an abundant number, since it is smaller than the sum of its proper divisors (1174145334768).

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

476228616192 is an frugal number, since it uses more digits than its factorization.

476228616192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 101 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 476228616192 in words is "four hundred seventy-six billion, two hundred twenty-eight million, six hundred sixteen thousand, one hundred ninety-two".