461364403192 has 192 divisors, whose sum is σ = 1109149009920. Its totient is φ = 176061600000.

The previous prime is 461364403151. The next prime is 461364403219. The reversal of 461364403192 is 291304463164.

It is a super-2 number, since 2×461364403192² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103745113 + ... + 103749559.

It is an arithmetic number, because the mean of its divisors is an integer number (5776817760).

Almost surely, 2^461364403192 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 461364403192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554574504960).

461364403192 is an abundant number, since it is smaller than the sum of its proper divisors (647784606728).

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

461364403192 is a wasteful number, since it uses less digits than its factorization.

461364403192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 461364403192 in words is "four hundred sixty-one billion, three hundred sixty-four million, four hundred three thousand, one hundred ninety-two".