46161000 has 192 divisors, whose sum is σ = 163537920. Its totient is φ = 11721600.

The previous prime is 46160969. The next prime is 46161019. The reversal of 46161000 is 16164.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206889 + ... + 207111.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^46161000 is an apocalyptic number.

46161000 is a gapful number since it is divisible by the number (40) 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 46161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

46161000 is an abundant number, since it is smaller than the sum of its proper divisors (117376920).

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

46161000 is a wasteful number, since it uses less digits than its factorization.

46161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 46161000 is about 6794.1886932878. The cubic root of 46161000 is about 358.7223226067.

Adding to 46161000 its reverse (16164), we get a palindrome (46177164).

The spelling of 46161000 in words is "forty-six million, one hundred sixty-one thousand".