461792340 has 168 divisors, whose sum is σ = 1531424160. Its totient is φ = 116593344.

The previous prime is 461792299. The next prime is 461792347. The reversal of 461792340 is 43297164.

461792340 is a `hidden beast` number, since 4 + 617 + 9 + 2 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461792295 and 461792304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461792347) 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 55 ways as a sum of consecutive naturals, for example, 276187 + ... + 277853.

It is an arithmetic number, because the mean of its divisors is an integer number (9115620).

Almost surely, 2^461792340 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 461792340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765712080).

461792340 is an abundant number, since it is smaller than the sum of its proper divisors (1069631820).

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

461792340 is a wasteful number, since it uses less digits than its factorization.

461792340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 461792340 is about 21489.3541084882. The cubic root of 461792340 is about 772.9455625462.

The spelling of 461792340 in words is "four hundred sixty-one million, seven hundred ninety-two thousand, three hundred forty".