461169100 has 72 divisors (see below), whose sum is σ = 1151537408. Its totient is φ = 157032000.

The previous prime is 461169097. The next prime is 461169103. The reversal of 461169100 is 1961164.

It is an interprime number because it is at equal distance from previous prime (461169097) and next prime (461169103).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461169103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103519 + ... + 107881.

Almost surely, 2^461169100 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 461169100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575768704).

461169100 is an abundant number, since it is smaller than the sum of its proper divisors (690368308).

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

461169100 is a wasteful number, since it uses less digits than its factorization.

461169100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 461169100 is about 21474.8480786244. The cubic root of 461169100 is about 772.5976807318.

The spelling of 461169100 in words is "four hundred sixty-one million, one hundred sixty-nine thousand, one hundred".