46705164 has 48 divisors (see below), whose sum is σ = 120683136. Its totient is φ = 13939200.

The previous prime is 46705163. The next prime is 46705177. The reversal of 46705164 is 46150764.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (46705163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (2514232).

Almost surely, 2^46705164 is an apocalyptic number.

46705164 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 46705164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60341568).

46705164 is an abundant number, since it is smaller than the sum of its proper divisors (73977972).

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

46705164 is a wasteful number, since it uses less digits than its factorization.

46705164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 46705164 is about 6834.1176460462. The cubic root of 46705164 is about 360.1264062273.

The spelling of 46705164 in words is "forty-six million, seven hundred five thousand, one hundred sixty-four".