461434500 has 216 divisors, whose sum is σ = 1516501896. Its totient is φ = 118080000.

The previous prime is 461434489. The next prime is 461434507. The reversal of 461434500 is 5434164.

461434500 is a `hidden beast` number, since 4 + 614 + 3 + 45 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 422795844 + 38638656 = 20562^2 + 6216^2 .

It is not an unprimeable number, because it can be changed into a prime (461434507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7564470 + ... + 7564530.

Almost surely, 2^461434500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758250948).

461434500 is an abundant number, since it is smaller than the sum of its proper divisors (1055067396).

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

461434500 is a wasteful number, since it uses less digits than its factorization.

461434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 461434500 is about 21481.0265117848. The cubic root of 461434500 is about 772.7458607251.

Adding to 461434500 its reverse (5434164), we get a palindrome (466868664).

The spelling of 461434500 in words is "four hundred sixty-one million, four hundred thirty-four thousand, five hundred".