461196 has 36 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 146784.

The previous prime is 461191. The next prime is 461207. The reversal of 461196 is 691164.

461196 = T₃₃ + T₃₄ + ... + T₁₄₀.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (461191) by changing a digit.

461196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁴⁶¹¹⁹⁶ is an apocalyptic number.

461196 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 461196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

461196 is an abundant number, since it is smaller than the sum of its proper divisors (757476).

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

461196 is a wasteful number, since it uses less digits than its factorization.

461196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 461196 is about 679.1141288473. The cubic root of 461196 is about 77.2612702318.

The spelling of 461196 in words is "four hundred sixty-one thousand, one hundred ninety-six".