461555600 has 120 divisors (see below), whose sum is σ = 1273594080. Its totient is φ = 158976000.

The previous prime is 461555599. The next prime is 461555629. The reversal of 461555600 is 6555164.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80840 + ... + 86360.

It is an arithmetic number, because the mean of its divisors is an integer number (10613284).

Almost surely, 2^461555600 is an apocalyptic number.

461555600 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 461555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636797040).

461555600 is an abundant number, since it is smaller than the sum of its proper divisors (812038480).

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

461555600 is a wasteful number, since it uses less digits than its factorization.

461555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 461555600 is about 21483.8450934650. The cubic root of 461555600 is about 772.8134552508.

The spelling of 461555600 in words is "four hundred sixty-one million, five hundred fifty-five thousand, six hundred".