46146500 has 96 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 16896000.

The previous prime is 46146481. The next prime is 46146523. The reversal of 46146500 is 564164.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 43270084 + 2876416 = 6578^2 + 1696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46146500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518456 + ... + 518544.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^46146500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

46146500 is an abundant number, since it is smaller than the sum of its proper divisors (63533980).

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

46146500 is a wasteful number, since it uses less digits than its factorization.

46146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 46146500 is about 6793.1215210682. The cubic root of 46146500 is about 358.6847582963.

The spelling of 46146500 in words is "forty-six million, one hundred forty-six thousand, five hundred".