461092460000 has 240 divisors, whose sum is σ = 1190106419040. Its totient is φ = 175553280000.

The previous prime is 461092459987. The next prime is 461092460021. The reversal of 461092460000 is 64290164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41174402 + ... + 41185598.

It is an arithmetic number, because the mean of its divisors is an integer number (4958776746).

Almost surely, 2^461092460000 is an apocalyptic number.

461092460000 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 461092460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595053209520).

461092460000 is an abundant number, since it is smaller than the sum of its proper divisors (729013959040).

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

461092460000 is a wasteful number, since it uses less digits than its factorization.

461092460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 461092460000 in words is "four hundred sixty-one billion, ninety-two million, four hundred sixty thousand".