473242305600 has 462 divisors, whose sum is σ = 1747046624010. Its totient is φ = 126172753920.

The previous prime is 473242305583. The next prime is 473242305607. The reversal of 473242305600 is 6503242374.

473242305600 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 42 + 3 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26034467904 + 447207837696 = 161352^2 + 668736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (473242305607) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 94475896 + ... + 94480904.

Almost surely, 2^473242305600 is an apocalyptic number.

473242305600 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 473242305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873523312005).

473242305600 is an abundant number, since it is smaller than the sum of its proper divisors (1273804318410).

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

473242305600 is an frugal number, since it uses more digits than its factorization.

473242305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 473242305600 its reverse (6503242374), we get a palindrome (479745547974).

The spelling of 473242305600 in words is "four hundred seventy-three billion, two hundred forty-two million, three hundred five thousand, six hundred".