461645136 has 80 divisors (see below), whose sum is σ = 1340092800. Its totient is φ = 152140032.

The previous prime is 461645131. The next prime is 461645141. The reversal of 461645136 is 631546164.

It is a happy number.

461645136 is a `hidden beast` number, since 4 + 6 + 1 + 645 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (461645131) and next prime (461645141).

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

It is a self number, because there is not a number n which added to its sum of digits gives 461645136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461645131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32445 + ... + 44451.

It is an arithmetic number, because the mean of its divisors is an integer number (16751160).

Almost surely, 2^461645136 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 461645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670046400).

461645136 is an abundant number, since it is smaller than the sum of its proper divisors (878447664).

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

461645136 is a wasteful number, since it uses less digits than its factorization.

461645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12113 (or 12101 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 461645136 is about 21485.9287907225. The cubic root of 461645136 is about 772.8634240605.

The spelling of 461645136 in words is "four hundred sixty-one million, six hundred forty-five thousand, one hundred thirty-six".