461412600 has 96 divisors (see below), whose sum is σ = 1560435840. Its totient is φ = 111856000.

The previous prime is 461412577. The next prime is 461412619. The reversal of 461412600 is 6214164.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 28356 + ... + 41555.

It is an arithmetic number, because the mean of its divisors is an integer number (16254540).

Almost surely, 2^461412600 is an apocalyptic number.

461412600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461412600 is an abundant number, since it is smaller than the sum of its proper divisors (1099023240).

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

461412600 is a wasteful number, since it uses less digits than its factorization.

461412600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69941 (or 69932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 461412600 is about 21480.5167535607. The cubic root of 461412600 is about 772.7336355143.

Adding to 461412600 its reverse (6214164), we get a palindrome (467626764).

The spelling of 461412600 in words is "four hundred sixty-one million, four hundred twelve thousand, six hundred".