461383164 has 72 divisors (see below), whose sum is σ = 1282947120. Its totient is φ = 139798560.

The previous prime is 461383159. The next prime is 461383183.

It is a happy number.

461383164 is a `hidden beast` number, since 4 + 613 + 8 + 31 + 6 + 4 = 666.

461383164 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43102 + ... + 52730.

It is an arithmetic number, because the mean of its divisors is an integer number (17818710).

Almost surely, 2^461383164 is an apocalyptic number.

461383164 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 461383164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641473560).

461383164 is an abundant number, since it is smaller than the sum of its proper divisors (821563956).

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

461383164 is a wasteful number, since it uses less digits than its factorization.

461383164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9645 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 461383164 is about 21479.8315635854. The cubic root of 461383164 is about 772.7172028819.

The spelling of 461383164 in words is "four hundred sixty-one million, three hundred eighty-three thousand, one hundred sixty-four".