461020164 has 72 divisors (see below), whose sum is σ = 1186913280. Its totient is φ = 139170240.

The previous prime is 461020139. The next prime is 461020169.

461020164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461020164² = 425079183229173792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461020169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555702 + ... + 556530.

Almost surely, 2^461020164 is an apocalyptic number.

461020164 is a gapful number since it is divisible by the number (44) 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 461020164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593456640).

461020164 is an abundant number, since it is smaller than the sum of its proper divisors (725893116).

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

461020164 is a wasteful number, since it uses less digits than its factorization.

461020164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 461020164 is about 21471.3801140029. The cubic root of 461020164 is about 772.5145008327.

The spelling of 461020164 in words is "four hundred sixty-one million, twenty thousand, one hundred sixty-four".