461676600 has 288 divisors, whose sum is σ = 1933626240. Its totient is φ = 95904000.

The previous prime is 461676571. The next prime is 461676661. The reversal of 461676600 is 6676164.

461676600 is a `hidden beast` number, since 46 + 1 + 6 + 7 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136935 + ... + 140265.

It is an arithmetic number, because the mean of its divisors is an integer number (6713980).

Almost surely, 2^461676600 is an apocalyptic number.

461676600 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 461676600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966813120).

461676600 is an abundant number, since it is smaller than the sum of its proper divisors (1471949640).

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

461676600 is a wasteful number, since it uses less digits than its factorization.

461676600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 461676600 is about 21486.6609783838. The cubic root of 461676600 is about 772.8809821518.

The spelling of 461676600 in words is "four hundred sixty-one million, six hundred seventy-six thousand, six hundred".