461000260900 has 81 divisors (see below), whose sum is σ = 1024825065201. Its totient is φ = 179997662880.

The previous prime is 461000260843. The next prime is 461000260933. The reversal of 461000260900 is 9062000164.

The square root of 461000260900 is 678970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165960093924 + 295040166976 = 407382^2 + 543176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 291956311 + ... + 291957889.

Almost surely, 2^461000260900 is an apocalyptic number.

461000260900 is the 678970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461000260900

461000260900 is an abundant number, since it is smaller than the sum of its proper divisors (563824804301).

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

461000260900 is an equidigital number, since it uses as much as digits as its factorization.

461000260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 461000260900 in words is "four hundred sixty-one billion, two hundred sixty thousand, nine hundred".