461261136 has 160 divisors (see below), whose sum is σ = 1505046528. Its totient is φ = 118609920.

The previous prime is 461261131. The next prime is 461261137. The reversal of 461261136 is 631162164.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461261131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129621 + ... + 133131.

Almost surely, 2^461261136 is an apocalyptic number.

461261136 is a gapful number since it is divisible by the number (46) 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 461261136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752523264).

461261136 is an abundant number, since it is smaller than the sum of its proper divisors (1043785392).

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

461261136 is a wasteful number, since it uses less digits than its factorization.

461261136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3563 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 461261136 is about 21476.9908506755. The cubic root of 461261136 is about 772.6490733557.

The spelling of 461261136 in words is "four hundred sixty-one million, two hundred sixty-one thousand, one hundred thirty-six".