461544800 has 72 divisors (see below), whose sum is σ = 1153035576. Its totient is φ = 180311040.

The previous prime is 461544779. The next prime is 461544803. The reversal of 461544800 is 8445164.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461544803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27692 + ... + 41108.

It is an arithmetic number, because the mean of its divisors is an integer number (16014383).

Almost surely, 2^461544800 is an apocalyptic number.

461544800 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 461544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576517788).

461544800 is an abundant number, since it is smaller than the sum of its proper divisors (691490776).

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

461544800 is a wasteful number, since it uses less digits than its factorization.

461544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 461544800 is about 21483.5937403406. The cubic root of 461544800 is about 772.8074274827.

Adding to 461544800 its reverse (8445164), we get a palindrome (469989964).

The spelling of 461544800 in words is "four hundred sixty-one million, five hundred forty-four thousand, eight hundred".