473386368 has 512 divisors, whose sum is σ = 1754726400. Its totient is φ = 109486080.

The previous prime is 473386367. The next prime is 473386411. The reversal of 473386368 is 863683374.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473386363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15270513 + ... + 15270543.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2^473386368 is an apocalyptic number.

473386368 is a gapful number since it is divisible by the number (48) 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 473386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877363200).

473386368 is an abundant number, since it is smaller than the sum of its proper divisors (1281340032).

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

473386368 is a wasteful number, since it uses less digits than its factorization.

473386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 473386368 is about 21757.4439675252. The cubic root of 473386368 is about 779.3608439202.

The spelling of 473386368 in words is "four hundred seventy-three million, three hundred eighty-six thousand, three hundred sixty-eight".