461643000 has 512 divisors, whose sum is σ = 1886976000. Its totient is φ = 91238400.

The previous prime is 461642983. The next prime is 461643001. The reversal of 461643000 is 346164.

It is a super-2 number, since 2×461643000² = 426228518898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461643001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5186956 + ... + 5187044.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^461643000 is an apocalyptic number.

461643000 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 461643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

461643000 is an abundant number, since it is smaller than the sum of its proper divisors (1425333000).

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

461643000 is a wasteful number, since it uses less digits than its factorization.

461643000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 461643000 is about 21485.8790837145. The cubic root of 461643000 is about 772.8622320635.

Adding to 461643000 its reverse (346164), we get a palindrome (461989164).

The spelling of 461643000 in words is "four hundred sixty-one million, six hundred forty-three thousand".