461085800 has 48 divisors (see below), whose sum is σ = 1225174560. Its totient is φ = 158086080.

The previous prime is 461085799. The next prime is 461085827. The reversal of 461085800 is 8580164.

It is a super-2 number, since 2×461085800² = 425200229923280000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 163274 + ... + 166073.

It is an arithmetic number, because the mean of its divisors is an integer number (25524470).

Almost surely, 2^461085800 is an apocalyptic number.

461085800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461085800 is an abundant number, since it is smaller than the sum of its proper divisors (764088760).

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

461085800 is a wasteful number, since it uses less digits than its factorization.

461085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329370 (or 329361 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 461085800 is about 21472.9085128215. The cubic root of 461085800 is about 772.5511603686.

The spelling of 461085800 in words is "four hundred sixty-one million, eighty-five thousand, eight hundred".