461315481600 has 672 divisors, whose sum is σ = 1671836656320. Its totient is φ = 111715287040.

The previous prime is 461315481589. The next prime is 461315481637. The reversal of 461315481600 is 6184513164.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302898439 + ... + 302899961.

Almost surely, 2^461315481600 is an apocalyptic number.

461315481600 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 461315481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835918328160).

461315481600 is an abundant number, since it is smaller than the sum of its proper divisors (1210521174720).

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

461315481600 is a wasteful number, since it uses less digits than its factorization.

461315481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 461315481600 its reverse (6184513164), we get a palindrome (467499994764).

The spelling of 461315481600 in words is "four hundred sixty-one billion, three hundred fifteen million, four hundred eighty-one thousand, six hundred".