461430431000 has 128 divisors (see below), whose sum is σ = 1346178562560. Its totient is φ = 143822448000.

The previous prime is 461430430987. The next prime is 461430431009. The reversal of 461430431000 is 134034164.

It is a super-2 number, since 2×461430431000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461430431009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2919302 + ... + 3073301.

It is an arithmetic number, because the mean of its divisors is an integer number (10517020020).

Almost surely, 2^461430431000 is an apocalyptic number.

461430431000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461430431000 is an abundant number, since it is smaller than the sum of its proper divisors (884748131560).

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

461430431000 is a wasteful number, since it uses less digits than its factorization.

461430431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992642 (or 5992628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 461430431000 its reverse (134034164), we get a palindrome (461564465164).

The spelling of 461430431000 in words is "four hundred sixty-one billion, four hundred thirty million, four hundred thirty-one thousand".