461736468 has 36 divisors (see below), whose sum is σ = 1198715700. Its totient is φ = 149751936.

The previous prime is 461736449. The next prime is 461736469. The reversal of 461736468 is 864637164.

It is a happy number.

461736468 is a `hidden beast` number, since 461 + 73 + 64 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380952324 + 80784144 = 19518^2 + 8988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×461736468² = 426401131762230048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461736469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171993 + ... + 174656.

Almost surely, 2^461736468 is an apocalyptic number.

It is an amenable number.

461736468 is an abundant number, since it is smaller than the sum of its proper divisors (736979232).

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

461736468 is a wasteful number, since it uses less digits than its factorization.

461736468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346696 (or 346691 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 461736468 is about 21488.0540766259. The cubic root of 461736468 is about 772.9143885368.

The spelling of 461736468 in words is "four hundred sixty-one million, seven hundred thirty-six thousand, four hundred sixty-eight".