461023092000 has 576 divisors, whose sum is σ = 1702736380800. Its totient is φ = 117989222400.

The previous prime is 461023091993. The next prime is 461023092001. The reversal of 461023092000 is 290320164.

461023092000 is a `hidden beast` number, since 4 + 610 + 23 + 0 + 9 + 20 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (461023092001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186874767 + ... + 186877233.

It is an arithmetic number, because the mean of its divisors is an integer number (2956139550).

Almost surely, 2^461023092000 is an apocalyptic number.

461023092000 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 461023092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851368190400).

461023092000 is an abundant number, since it is smaller than the sum of its proper divisors (1241713288800).

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

461023092000 is a wasteful number, since it uses less digits than its factorization.

461023092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 461023092000 in words is "four hundred sixty-one billion, twenty-three million, ninety-two thousand".