461270600 has 96 divisors (see below), whose sum is σ = 1290244800. Its totient is φ = 149817600.

The previous prime is 461270597. The next prime is 461270611. The reversal of 461270600 is 6072164.

It is a self number, because there is not a number n which added to its sum of digits gives 461270600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17930 + ... + 35270.

It is an arithmetic number, because the mean of its divisors is an integer number (13440050).

Almost surely, 2^461270600 is an apocalyptic number.

461270600 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 461270600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645122400).

461270600 is an abundant number, since it is smaller than the sum of its proper divisors (828974200).

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

461270600 is a wasteful number, since it uses less digits than its factorization.

461270600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17374 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 461270600 is about 21477.2111783630. The cubic root of 461270600 is about 772.6543576370.

The spelling of 461270600 in words is "four hundred sixty-one million, two hundred seventy thousand, six hundred".