461231000 has 64 divisors (see below), whose sum is σ = 1092480480. Its totient is φ = 182236800.

The previous prime is 461230999. The next prime is 461231003. The reversal of 461231000 is 132164.

It is a super-2 number, since 2×461231000² = 425468070722000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461231000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461231003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80222 + ... + 85778.

Almost surely, 2^461231000 is an apocalyptic number.

461231000 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 461231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546240240).

461231000 is an abundant number, since it is smaller than the sum of its proper divisors (631249480).

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

461231000 is a wasteful number, since it uses less digits than its factorization.

461231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 461231000 is about 21476.2892511719. The cubic root of 461231000 is about 772.6322462573.

Adding to 461231000 its reverse (132164), we get a palindrome (461363164).

The spelling of 461231000 in words is "four hundred sixty-one million, two hundred thirty-one thousand".