473701600 has 144 divisors (see below), whose sum is σ = 1246701456. Its totient is φ = 175104000.

The previous prime is 473701561. The next prime is 473701601. The reversal of 473701600 is 6107374.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473701601) 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 23 ways as a sum of consecutive naturals, for example, 829315 + ... + 829885.

It is an arithmetic number, because the mean of its divisors is an integer number (8657649).

Almost surely, 2^473701600 is an apocalyptic number.

473701600 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 473701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623350728).

473701600 is an abundant number, since it is smaller than the sum of its proper divisors (772999856).

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

473701600 is a wasteful number, since it uses less digits than its factorization.

473701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 473701600 is about 21764.6869952223. The cubic root of 473701600 is about 779.5337998684.

Adding to 473701600 its reverse (6107374), we get a palindrome (479808974).

The spelling of 473701600 in words is "four hundred seventy-three million, seven hundred one thousand, six hundred".