461405600 has 36 divisors (see below), whose sum is σ = 1126408374. Its totient is φ = 184561920.

The previous prime is 461405597. The next prime is 461405603. The reversal of 461405600 is 6504164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461405597) and next prime (461405603).

It can be written as a sum of positive squares in 3 ways, for example, as 447237904 + 14167696 = 21148^2 + 3764^2 .

It is a super-2 number, since 2×461405600² = 425790255422720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461405600.

It is not an unprimeable number, because it can be changed into a prime (461405603) 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 5 ways as a sum of consecutive naturals, for example, 287579 + ... + 289178.

Almost surely, 2^461405600 is an apocalyptic number.

461405600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461405600 is an abundant number, since it is smaller than the sum of its proper divisors (665002774).

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

461405600 is a wasteful number, since it uses less digits than its factorization.

461405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576777 (or 576764 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 461405600 is about 21480.3538145907. The cubic root of 461405600 is about 772.7297278311.

Adding to 461405600 its reverse (6504164), we get a palindrome (467909764).

The spelling of 461405600 in words is "four hundred sixty-one million, four hundred five thousand, six hundred".