46177164 has 72 divisors (see below), whose sum is σ = 131760720. Its totient is φ = 13507200.

The previous prime is 46177129. The next prime is 46177181.

46177164 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9474 + ... + 13494.

It is an arithmetic number, because the mean of its divisors is an integer number (1830010).

Almost surely, 2^46177164 is an apocalyptic number.

46177164 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 46177164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65880360).

46177164 is an abundant number, since it is smaller than the sum of its proper divisors (85583556).

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

46177164 is a wasteful number, since it uses less digits than its factorization.

46177164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4066 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 46177164 is about 6795.3781351739. The cubic root of 46177164 is about 358.7641884744.

It can be divided in two parts, 4617 and 7164, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 46177164 in words is "forty-six million, one hundred seventy-seven thousand, one hundred sixty-four".