461324600 has 96 divisors (see below), whose sum is σ = 1180437840. Its totient is φ = 167657600.

The previous prime is 461324581. The next prime is 461324623. The reversal of 461324600 is 6423164.

It is a self number, because there is not a number n which added to its sum of digits gives 461324600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265334 + ... + 267066.

Almost surely, 2^461324600 is an apocalyptic number.

461324600 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 461324600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590218920).

461324600 is an abundant number, since it is smaller than the sum of its proper divisors (719113240).

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

461324600 is a wasteful number, since it uses less digits than its factorization.

461324600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 461324600 is about 21478.4682880321. The cubic root of 461324600 is about 772.6845074791.

Adding to 461324600 its reverse (6423164), we get a palindrome (467747764).

The spelling of 461324600 in words is "four hundred sixty-one million, three hundred twenty-four thousand, six hundred".