461543100 has 72 divisors (see below), whose sum is σ = 1341580800. Its totient is φ = 122508480.

The previous prime is 461543083. The next prime is 461543153. The reversal of 461543100 is 1345164.

It is a super-2 number, since 2×461543100² = 426044066315220000, which contains 22 as substring.

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, 63451 + ... + 70349.

Almost surely, 2^461543100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670790400).

461543100 is an abundant number, since it is smaller than the sum of its proper divisors (880037700).

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

461543100 is a wasteful number, since it uses less digits than its factorization.

461543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 461543100 is about 21483.5541752290. The cubic root of 461543100 is about 772.8064786588.

Adding to 461543100 its reverse (1345164), we get a palindrome (462888264).

The spelling of 461543100 in words is "four hundred sixty-one million, five hundred forty-three thousand, one hundred".