467513478643600 has 405 divisors, whose sum is σ = 1176068088811161. Its totient is φ = 178594756070400.

The previous prime is 467513478643597. The next prime is 467513478643663. The reversal of 467513478643600 is 6346874315764.

It is a happy number.

The square root of 467513478643600 is 21622060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 362202864330384 + 105310614313216 = 19031628^2 + 10262096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 976019788161 + ... + 976019788639.

Almost surely, 2^{467513478643600} is an apocalyptic number.

467513478643600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

467513478643600 is the 21622060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467513478643600

467513478643600 is an abundant number, since it is smaller than the sum of its proper divisors (708554610167561).

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

467513478643600 is an frugal number, since it uses more digits than its factorization.

467513478643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 64.

The spelling of 467513478643600 in words is "four hundred sixty-seven trillion, five hundred thirteen billion, four hundred seventy-eight million, six hundred forty-three thousand, six hundred".