46561000 has 64 divisors (see below), whose sum is σ = 110270160. Its totient is φ = 18400000.

The previous prime is 46560989. The next prime is 46561007. The reversal of 46561000 is 16564.

It can be written as a sum of positive squares in 8 ways, for example, as 6441444 + 40119556 = 2538^2 + 6334^2 .

It is not an unprimeable number, because it can be changed into a prime (46561007) 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, 100770 + ... + 101230.

Almost surely, 2^46561000 is an apocalyptic number.

46561000 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 46561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55135080).

46561000 is an abundant number, since it is smaller than the sum of its proper divisors (63709160).

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

46561000 is a wasteful number, since it uses less digits than its factorization.

46561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 46561000 is about 6823.5621195971. The cubic root of 46561000 is about 359.7554924072.

Adding to 46561000 its reverse (16564), we get a palindrome (46577564).

The spelling of 46561000 in words is "forty-six million, five hundred sixty-one thousand".