461332800 has 336 divisors, whose sum is σ = 1719681600. Its totient is φ = 120268800.

The previous prime is 461332789. The next prime is 461332801. The reversal of 461332800 is 8233164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461332801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2548710 + ... + 2548890.

It is an arithmetic number, because the mean of its divisors is an integer number (5118100).

Almost surely, 2^461332800 is an apocalyptic number.

461332800 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 461332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859840800).

461332800 is an abundant number, since it is smaller than the sum of its proper divisors (1258348800).

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

461332800 is a wasteful number, since it uses less digits than its factorization.

461332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 461332800 is about 21478.6591760287. The cubic root of 461332800 is about 772.6890855827.

Adding to 461332800 its reverse (8233164), we get a palindrome (469565964).

The spelling of 461332800 in words is "four hundred sixty-one million, three hundred thirty-two thousand, eight hundred".