461190000 has 100 divisors (see below), whose sum is σ = 1488879656. Its totient is φ = 122976000.

The previous prime is 461189999. The next prime is 461190001. The reversal of 461190000 is 91164.

It is an interprime number because it is at equal distance from previous prime (461189999) and next prime (461190001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×461190000² = 425392432200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461190001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22314 + ... + 37686.

Almost surely, 2^461190000 is an apocalyptic number.

461190000 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 461190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744439828).

461190000 is an abundant number, since it is smaller than the sum of its proper divisors (1027689656).

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

461190000 is a wasteful number, since it uses less digits than its factorization.

461190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15404 (or 15383 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 461190000 is about 21475.3346888937. The cubic root of 461190000 is about 772.6093518286.

The spelling of 461190000 in words is "four hundred sixty-one million, one hundred ninety thousand".