461550600 has 216 divisors, whose sum is σ = 1803453210. Its totient is φ = 105477120.

The previous prime is 461550589. The next prime is 461550611. The reversal of 461550600 is 6055164.

It is a happy number.

461550600 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 50 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (461550589) and next prime (461550611).

It can be written as a sum of positive squares in 3 ways, for example, as 435723876 + 25826724 = 20874^2 + 5082^2 .

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 53 ways as a sum of consecutive naturals, for example, 85584 + ... + 90816.

Almost surely, 2^461550600 is an apocalyptic number.

461550600 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 461550600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901726605).

461550600 is an abundant number, since it is smaller than the sum of its proper divisors (1341902610).

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

461550600 is a wasteful number, since it uses less digits than its factorization.

461550600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 461550600 is about 21483.7287266433. The cubic root of 461550600 is about 772.8106646291.

The spelling of 461550600 in words is "four hundred sixty-one million, five hundred fifty thousand, six hundred".