461403800 has 288 divisors, whose sum is σ = 1360158480. Its totient is φ = 143769600.

The previous prime is 461403797. The next prime is 461403823. The reversal of 461403800 is 8304164.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 461403800.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6320564 + ... + 6320636.

Almost surely, 2^461403800 is an apocalyptic number.

461403800 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 461403800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680079240).

461403800 is an abundant number, since it is smaller than the sum of its proper divisors (898754680).

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

461403800 is a wasteful number, since it uses less digits than its factorization.

461403800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 461403800 is about 21480.3119157986. The cubic root of 461403800 is about 772.7287229919.

Adding to 461403800 its reverse (8304164), we get a palindrome (469707964).

The spelling of 461403800 in words is "four hundred sixty-one million, four hundred three thousand, eight hundred".