461164000 has 192 divisors, whose sum is σ = 1268047872. Its totient is φ = 163392000.

The previous prime is 461163979. The next prime is 461164013. The reversal of 461164000 is 461164.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2067889 + ... + 2068111.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^461164000 is an apocalyptic number.

461164000 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 461164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

461164000 is an abundant number, since it is smaller than the sum of its proper divisors (806883872).

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

461164000 is a wasteful number, since it uses less digits than its factorization.

461164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 461164000 is about 21474.7293347320. The cubic root of 461164000 is about 772.5948327073.

461164000 divided by its reverse (461164) gives a cube (1000 = 10³).

It can be divided in two parts, 461 and 164000, that added together give a palindrome (164461).

The spelling of 461164000 in words is "four hundred sixty-one million, one hundred sixty-four thousand".