461230000 has 200 divisors, whose sum is σ = 1394553600. Its totient is φ = 143520000.

The previous prime is 461229991. The next prime is 461230001. The reversal of 461230000 is 32164.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×461230000² = 425466225800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (461230001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 769701 + ... + 770299.

It is an arithmetic number, because the mean of its divisors is an integer number (6972768).

Almost surely, 2^461230000 is an apocalyptic number.

461230000 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 461230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697276800).

461230000 is an abundant number, since it is smaller than the sum of its proper divisors (933323600).

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

461230000 is a wasteful number, since it uses less digits than its factorization.

461230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 461230000 is about 21476.2659696699. The cubic root of 461230000 is about 772.6316878727.

Adding to 461230000 its reverse (32164), we get a palindrome (461262164).

The spelling of 461230000 in words is "four hundred sixty-one million, two hundred thirty thousand".