46241000 has 64 divisors (see below), whose sum is σ = 116560080. Its totient is φ = 17068800.

The previous prime is 46240949. The next prime is 46241021. The reversal of 46241000 is 14264.

It can be written as a sum of positive squares in 8 ways, for example, as 2390116 + 43850884 = 1546^2 + 6622^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46241000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11222 + ... + 14778.

Almost surely, 2^46241000 is an apocalyptic number.

46241000 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 46241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58280040).

46241000 is an abundant number, since it is smaller than the sum of its proper divisors (70319080).

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

46241000 is a wasteful number, since it uses less digits than its factorization.

46241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 46241000 is about 6800.0735290142. The cubic root of 46241000 is about 358.9294326735.

Adding to 46241000 its reverse (14264), we get a palindrome (46255264).

The spelling of 46241000 in words is "forty-six million, two hundred forty-one thousand".