461383800 has 96 divisors (see below), whose sum is σ = 1434134400. Its totient is φ = 122705280.

The previous prime is 461383799. The next prime is 461383831. The reversal of 461383800 is 8383164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291411 + ... + 292989.

It is an arithmetic number, because the mean of its divisors is an integer number (14938900).

Almost surely, 2^461383800 is an apocalyptic number.

461383800 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 461383800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717067200).

461383800 is an abundant number, since it is smaller than the sum of its proper divisors (972750600).

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

461383800 is a wasteful number, since it uses less digits than its factorization.

461383800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 461383800 is about 21479.8463681657. The cubic root of 461383800 is about 772.7175579360.

The spelling of 461383800 in words is "four hundred sixty-one million, three hundred eighty-three thousand, eight hundred".